{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "plt.clf()\n",
    "plt.figure(dpi=600)\n",
    "fig = plt.figure()\n",
    "attn_vis = attn[0].to('cpu').detach().numpy().sum(axis=2)\n",
    "plt.imshow(attn_vis)\n",
    "plt.gca().set_aspect(0.2)\n",
    "plt.colorbar()\n",
    "plt.savefig('out/view_attn.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([1, 256, 192, 252])\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "import numpy\n",
    "from gnt.feature_network import ResUNet\n",
    "feature_net = ResUNet(\n",
    "            coarse_out_ch=32,\n",
    "            fine_out_ch=32,\n",
    "            single_net=True,\n",
    "        ).to(\"cuda:1\")\n",
    "checkpoint = torch.load('./out/gnt_full/model_720000.pth')\n",
    "feature_net.load_state_dict(checkpoint['feature_net'])\n",
    "\n",
    "\n",
    "img = torch.from_numpy(numpy.load('out/gt_img.npy')).to(\"cuda:1\")\n",
    "out = feature_net(img.permute(2,0,1).unsqueeze(0))[2]\n",
    "print(out.shape)\n",
    "numpy.save(\"out/gt_feat.npy\", out.to('cpu').detach().numpy())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "13 17 torch.Size([221, 256, 1, 1]) torch.Size([1, 256, 192, 252])\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "import numpy as np\n",
    "feat_2d = torch.from_numpy(np.load(\"out/feat_2d.npy\")).to(\"cuda:1\")\n",
    "roi = feat_2d[::30, ::30,:]\n",
    "\n",
    "# out = torch.from_numpy(np.load(\"out/gt_feat.npy\")).to(\"cuda:1\")\n",
    "# print(feat_2d.shape, roi.shape, out.shape)\n",
    "\n",
    "keys = out #/ out.norm(dim=1, keepdim=True)\n",
    "queries = roi #/ roi.norm(dim=1, keepdim=True)\n",
    "h, w, c,_ = queries.shape\n",
    "queries = queries.reshape(h*w, c, -1).unsqueeze(-1)\n",
    "print(h,w,queries.shape, keys.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(13, 17, 192, 252)\n"
     ]
    }
   ],
   "source": [
    "\n",
    "attn = torch.nn.functional.conv2d(keys, queries, stride=1)\n",
    "\n",
    "attn = attn.reshape(h, w, 192, 252).to('cpu').detach().numpy()\n",
    "\n",
    "print(attn.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "attn = attn > 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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db70rbzS6IdGAPCtMHal3jASxY+yfzpHgLERYHVpUjGgPdi7eZzLf/u267PqviuiqpT4sAAlGZ9dy1S6P5aZcPc7RjXh9btagIiTTdEufWXWgJG5oypZmP0dlFu8gmUeYRaLS8rx5PMCuPKaKuOuaqBXJ9fbOt9eV6OsCdlrR7hX41MiNuJJwgApavMKnQ5LrFrvy6EZi0sn59u2ray9xqxhx85Z24vAD8dpUhGTRxz4zWD3KyC5a3LIDH/FpSnKxra8rJM4XjZJ47fAm3hS1JAdMpfCZotw3pPOAWQXcQmJ+brq93PXYoIJ4mTdhDghGoRtJXqSXGp9BeajJzwJuIeEN3Rjc7Eaf8uLZKA/FWbcZb3DiLWZXEk/1GSweWfLLQDKPpNfys8nlnbWtgiTISk/WiaGsdwxdLt5s/joSL+VnVyeJxCZnmuyyQwVIL7bXNpk2RKXQVYedVfhRSrOX0Y4kzqkbmb8u19QnQ+yyI7u2ZOct7diwfLU9dyrIoTRtQF/H3pD2L0IFrpKQSpcpumEie7izJOcrfJGQXm/rs6tOzlmpMHWfrTJKPNk6SnjEWEIfk3WLjmAU7nxFTA1usX3W3LyVC0YrbCbrjITEJUww930OBHyqcQuJyafnJT53JPM783clL9uowKUW5YO8RHqvVrfyhA9GDKlbdPhMk71e0e5kJNNt7091QbxtH9A+9MkqRbAK3YlHnswkr9INHKbscHOFu1yhQo5bbM+fvl6iOi8vgtIRi5SYS9Js8Epeus1U4x34SYauWtzcY8/mmDwhmd7Mn7tYQtuh2g6MIYwL/Ehe9IPXgaigyyT0E0YZuvGk00DyYoYd52SXbzSrbza62fM50RhC4ehys8kQ+1RiNNlVlGfirkK9jKhOMXjh0VVHc5hLpvb2L3t2AYkjDHJiqtFNwKeaLod2oHGLKM/EfYVpNclC4r+68TQTSzvYHp/58gzShJgmxCLdPL19qqgzCbo3Y/EmbaUxTSC9qFCtpxlpumLbe1FfvkJlmejMElQnyRyfSJzKriLVHsRDRbLUJNfgriui1bSFYo0sWEvy5aWMzVliZvGFJSq18RhNCfV+pNlRpNdgyg69aoipo8sVYdsOUbyoiE7jnSakmuDMLVSGbIJmR9YoP4ukl628VIymGeh7nu7weUM0apP8Wd/QKkTasaYbKJqdgAoSM3XLsPE+qwO39fIofjkjOkM0mm4kinyqccvI6lg87npXjKeby8U9fO7RXWB1nN7zhIrPrnt9BsYJqouo4Eimaz19DLylTxxKotFUgfLI3fMkzacvUUkCRoPWaGdQhSOZRep9qA6gOqQPTxiSq5rBlyVEKI/cPU83eXYN1oDWhNyhoiMYjfaR8khR7xjqPcguYPRFxCxqzKJG1R3d8eBeOMW9nEoIylnYGxAVEm5Qiuv3NW4pcersTKG+EOOXXtWoEGhHBfHOSbavZ71iC7tF7/VKknv+tqbe1Swfy8tj+FxCfOlljWo9fj/fSiwB2FfXEk5JHOwN+teqRnewPFV0uWH1KFI81+TnkrDKzmp02dKdDu4lDjf68pRoCpQPm/GtjjW6gdVpJDtXm7lKL2voPM3E3dsvvL4gGoMqcshS8OLxqgjXHxgI0BUSx/WZDMZNKwCag4Iuv7UeL16DMZDnRGdRTQeFQ7eR6/eMXIgKeWlepJjKk78qwXvq/Wxb11fIG4MPfpASCodPDboNZJcNIImeNVwlKskY5+eB4fOO4os5umrQTbi3cHFYyK0xTonOYFctIemfRlGgUsGCm0mcz1QRs2xRrSeZdvfCCySOmDhCkRKdxswaglX4pDccvRfjZmxCHqpuUXVLdtnd2wgqSURnlhBSh266HiEgHlw7Vj2yAmwZJBSgFKrqxLu7O9edR1U1qmnBi4etelY3U0e6gUChsgsxaO3QgdaosqV4Kc/z22KvS9zrBenrJW7WMXzWkEy7DYTIJ2CXoi+denxmULXHXpcUr1p0feegX1ekLxdkL1a4hWfwoiWZyfNyjQjQjcLNFMW5DMauWsyiFi9hcUtf6L2XNvQeW7e5XNwCicdFcDOFW4o3nV42mFmDW3j5mdt7xRlCkRAKsZ66avGJGFxb0huliGl6iJWCwfMaN636y+HOWoQIRssF2B8kn2qaicKUiuhkX5tGoI7VUYbqArrpcIuAW9xZ3NkCdTVDLUv0qsE9u8bNG3yiGT6TV6Cbg13KPIbMoeoOtEJ1EVPe2ctlhVqsoPPousNdLNG1eKM7P/Mks0j2WhJUykd04zGXS6LW+FRvYGubvbzq9bUdetVizxfo2hMs7P7Yk14HiheSkFN9bNiczyGE3tu8M39NC3UD/WvBXMxRjYSGdn8cyC4DxXN5Ma2f5vZ8AV72wxoWuFnfVQWVGFHdBczlAtN/7/DLIIm9qcRc5YNAT1egxVbcG1/iUEVOHBbEPEHFiC8c5Z6WBHC/R6KCZiyGSdWeMM7xmd4+uy5BjYbEyVD0VpL4r/YlT6E8eHdLV4youiUOc6Lmvh24I2/0dC+/VZBfBNysY3XsKA81XSFPMRXEu0rmMPlFSzs0hFTRjVJCUrA6dow+394Jl795gK3lBqrHEkfsBqLPlhID1h0MXgTqsZZYmioAKA8t459tj2/23UeoEPukkhygtgDTZ9jXnnFxFij3DSoagh2hfKQ8tEzu6Ft+96nEazJFM9LUOxK70Z08u5uxbIDkGpYnhqgM+dBgmki5b5j8eFtf/eGxxNsyTbVjqPbkqa47+dZmRw5k8imC/dWQjy26jVQ7hslPtvW1+wP5XqdZnSSU+z2mMoi+dhQJNrL748jqUJ6owQ1QnYSGxp9uH/RulGKXLYRAvWMo950gAAK0Q8GoBhcZ/4tIM5AXRFcUAt8ZKwYvbsV03xr1OQDP/ElKeSj4ZTS0g4gfCN528tMe/zrUdHkGZNQTvYFprWX69R1MG7FLz+xtR7Wf0+xEQhZoUohpQJeG0S9kH5aZwrsMVLbBEW/N3Tee0OVyQFbHjtWRJN+6IhJPK4bDisUiQz3LWZ1oViea7MD2npe6iy4knuwTe+OyemdMPdE9TE6ch2Yi4bLx57HHTSfkZwnRKBanDlvfWYunh+hVi6obqqOc5fGIaGXfRaWo9+TC3/mFpzxw2KEhRy6n8tBucKdr8ad7qKpDNS3NYc7qGyOBBDrRWe/Iv08+9ayOHaaxDH3sXySWZL59dv3jgz4s2FGdDKi+Me6TcGwy9iGB8S89iycJtooMo8Aom5EhWWzrC0+O0HULMVKe5NQfDQSeZSVZ2g3kEhy8CixPHNo7Bn1itTywuOX29zbfehtde5QPLN4ZsDjV+FwggNHKHtRewlL1RPZedmFph4b5Wwbd3Oha/eY7AqMMkeWpnLN2iBj+DpqRhPHS60g91vgkJ1kktIVm8djcu2DuyhuNbj1REDXVJCFZRsa/9JR7GlvLwFfHEVsqFo8FbhSNxpwY3ArSmWdxuu1Kzt7tb5Qg3mIyk6ewqQUaVp4EdAezqGlHEVNpFo+1ZMBfBlbH24751Uem92ohmYGpIu1QIBw+gerYQ1DMWk03jOhGsXjssJUY9sWdbP7Ztx3tWEDndqHQHppJJJmJR98dN+AViyqhmQRMrVg+Nphakn+rR9v6zr+VCfYzyiWgAtS7coOHBLrDBmrD4ondhDqWjwymkiD99IM73/s1SQ5usrhdpBmIt+IzRX3coUvD8kRibT6F5anFLWHwwjN9b1vf8jRBd06Maar68I54F6tH0J40UBkWjy1uIcDvxVsKuxCY1eLpzfeWBxL777IEn/TFGFZiw9VRwB6WtNcZy1OLaQRpMLfiRafXMP3wzt7bUSivaN7poUAzehywpjnuKPZXrK5ylo8TgYntSdzOzQXnXL69/UyYvpPRDiVRC3J4QhKJLrK/u+BosOBnzQGrU4ltdxPP4h2Fm8r+s79xtaWvOpEbvR3K+NJpoBkLqqQ8ioSkR6AcanQbqXcVi8cpyTRiq8jV17f3SrOb4pzBZwN0E5h8WtNMLF2mufyGJiRStFLuGWwVmT+1rI6GgscuI5df3z5r7STFpBafDiBEhs8a2qGly5Wcm75QotoVp2F5aigPhuTnAsM8/9a2aWj2MnQb8AeSHS9eiaPlU83Vh3qjrxnpDTpjdTjoIVmBi2/cyScc5dgqocstqosUL1u6oaHNNdcfKSnSWaoNbn11olge5+IEloGrD7e/d3WS4JaBLpcw4uSXgXJXEmTXH0VCEXCXRuBitVzUi8cJ6bVA2+bv3OhaPLbYShKobhHJzwMqSn6iPI60E4+dG+ZvSUjPZ2BXTl42q3gPZXVX3mh0ddc/D5eReqLoMvHUuALTRMHwXt1UhLW5GFMVIm1+P3IRnFSxuIWiPBLIkC886WuDW4At5RCaBpgrml3ZaCipbIl3VPrspoKqPI74LOJzT/ba4mZgSo2bKWwFIN5HWgm8rZ6oe8+AbhjpRgFdatpTT8wCuuhoY0ZypVALi5vJJkiiptkNmFJu52pPbVWyAbQj8RZ1J5dASIPobJ1UsSwt6bkYbVC0o4gue7zjzv35a0fiParYF5ZYCC6iWyXPnlqTveordnpHwPb62kJv/ttaBBYlmeVo+iSaBdWJvrbVpGcSw/KZxMOoZB27HPytGHE7kBhuSJCkiOrDPB7sQuN3DMmZ2eyDdWgiOLkc7sZMBS8rXoqu+8rEtK+wKg117TC3klGmUv3fE3xntHc8oYmi2pf5WodtfCZGd7rIGaU19UVO2vaJoZXMf7Pn0bVmL6u3917ex8mtEshYqvBOvFFTQ3SQXqlNwi2ZRaIS2J1PFN1g2/NTEerdZJOUCkkPM1SSiAxOCnJUkNCMm0e0l8SfCvFePoGIxD6dJKbWa4xSGzy96JPkV3q9hlVKDPVuTJwQaSa2xzpHghWUjeBTIaRyEa8LhPL1WB34cN8IBacph2ZTramCJLyjAVNCO4ykl6qvMpWCBtOwKYC6G9ONCso9g2kjIAVR66SwqSEUkMzUJuGrOwnJtUOxB7fXI1gpFDHrOgQHXQbo/pXfaOxKnDLB1cvLqhmD9lLh9iZ5c5pN9q/84oRNptInPfbOSRWTm0eiiqioqPYU2SU0u7LYt8XUPXbPRdphJKaRaAVSksxlAUMiE7LxDPdl8tuveDLqBlQi+rqBlIxixfgmU4H5+AyUlxiVAqoD0bc6UVtPCgBdK3QpN8ja4Brr6bIAGKKJdLmEBEwpG6k67XCXhrK4OfgbfZ2MMZre4KYBTMSnclFEF2gHGqKMJWooH3vsVNMNwNyJwa6NqXixN1U0Pu1/Tx5oRxrdqc2GX+1G3ExA/3fjYJJEk7+/jtNHJWsQFdhhSzcwmFIMKOpWscpQSmPX4tObp2u0bJ7j68Ob5i31MEW3qg97SCWPxPJBtdvf2hZStqob2XvruG2wgIlkWcuySDZz5FPxZlSnqAeS1L0t8o3xZnxhPdZAjPDW8IpPiwPakbzGooswakmzFmsDy3r7lAer+tedYNNNtcamiqENk5b4KpXn9VhixcHK5XvPQCLGocsVKEWXga3DxinQHrqxDFh3UQpiGvnvwUjxwDqOullbq+h6x8enWnIat/WN5HCrQF9gEzdr5rP7eyUkAhVTYY29DRsnSLdiJFHy7eWhlid2lO8u9+/HnEMi3xt1j/ZYhU0oRUXwI0+0Gr2Q4hTte4cgRMrD++EekPlvXY/kWUnSlj5cpoctIAVc7UjGFrUY3PIkyHrf1qXl4o9avmGNO45aQltEjepkXxFv9nl1EO85EHdFPbTreZAHeZAH+dXJA8vYgzzIgzzIr1AejO6DPMiDPMivUB6M7oM8yIM8yK9QHozugzzIgzzIr1DeiF74+K9+L/pCMr66UT30STLvT/7+HHs2IwxyVu+MUTFuyDfqXcHttgPFD/7rGzLf7/4vP4nVnhLQskcyyEagSI///hTzekrYG1E+GRK1wi59X3NvJTtuFb/3/7rR9xv/809ieSgFDGsS82gEkrbW5w8mrN4aiL6VByVYwi6TwoLf/3/eGt+/80lcHas+sysSXMRNNW/93Tn2xRXd6e6GtN2tAj5RtAOp6VYR/uD/caPv1/7K9+LqONKN/eZ6U5lHXTne+rsd2bMF5Vsj5k8tUdHjB/usaQ/Evk2y/vFf+16sjjxx1KFMRKlImreUlzlP/q6meF4yf6fYMFiZRkoffSZzrVv4s79xS99f/16s9wJh6EFLtjcd1tSLlNP/xjL6dMninQHzJwI30zV0A/mfrmW8f/J3euLnv9brKm7S1HrYEpaWve9bdn9SU+84pu8KTMjUAsNpJhFTC6znT//zWwTw/+knsdkLxMILBK3TPSm1Zf+HmsHLjnZomL2tN9wJPhXY3xp189N//2YtPvjPP4nBRfwwsCYRUHlHXFkOf8cweNUxfccKU1wUUL1AEAVvq4LiJ3/1Znzv/xefRD8IxIGsBUCStdSzlP3fcQxfdFx94Fi8IwQ8ulMEG/E9wkI3il/85b+y0ffeb30S/cijB+1GX5a1LK9y0fdc9M3f96ggfz+aiM9lvnWt+fR/91e2vrcbBxi2KL0eX0d1nXH425bhlw1XX0uZv9c3KWh7HoZMICymVvz8372Zvw//pjQg2OwVwOQeP3cc/o5h+GXD9L2ExduS4dftGg4okEbdwk//gxt9H/1HYlu64gZVEXOPWlqOfwdGn1dM38tZPJE/XMMuu5Gsh27hz/7TbZL6Zs+jCr9ZX5N4ulnCyT/RDL+omb2TCR48CvdtMKIvuIhqFT/vicc//BufxHYnEHPB+RMU2IC9dDz+Rx3JVUOzl3D5kdvsvWgE2bOGUv78/1sS88M/6tBtRDc3fJkh1eg64AtHfLRLM3FicJc3BlfoAVuaybb6g9+foUIgOoPPLGuCZUKkG6f44nCjz807YQbasdhVEPB0vg2IPvj+FNb6cnejD6m28sUh9Z7riydaglG0I4NbBAbPKrrhNhjx4AezDf2fL6R6SH6nxw8c/oMjqn3Rl161PS+DIbv0JPOWdnDne/+wxlTdhj0sOEWXuR73qll8bUK5J9CTfCpEGo0SDop07u9hnQ/+pMOUQjTSDo0Qe2cZA6BLI9cfDqj2ZUNmV3IwVBDu2nQW7tWEH/1Bi6kC0UrVUJcpfOIYKQg2cvWNIdWewIrS69jDyRTZayEe97eIrk//+1qgVkaIpOUiyjYwwMuPUupdubjdXKCGPhcsa34e72GwD3/QQ4i0rKdPZK5VD8+5ft/RTG4KY6KGdgzJVJFeSLHIlr7v33DSrgm911jTZgzLR45mJ6LbSHItsKVuIF1NsvP7JOYHPxQCn6idjC0Dn2SkFuodWDx1NPse1SqSa4FMVQcROzNkF/cx4oc/iBA1UaeC480FKje0UO/C4qmlPujQjSa50hs4pVkasvP7+mR8EGxya3yKxEK1B4snKdVhQLeQXOpNgYldarKz+/r2/6Qv71VSkCT4VSdnfgLL05R6P6A7IX4nSiGQWyjy1/cx7Id/2G06WgSrepyzGLF2CK9+s6DeE2ObXLMpQkgvhULz7n45/e+7Hr8rNKVy1vrquzGUfyGnOpDLIJkKJLLbAztX5GdskaIf/jD0XXA0Xap7mKxBd5Fqz1Dt5pQHQpuaXstYmonABgfPhYjqTfJGo9vlGouUATeThGZsWB0JVnDwKpBcd5vDX+7bHrsrQOtoxKO8LX6YoOsOc7WEmLN6OmB1KGQU4y9aTOeJFrrEUI8F6Kw7McCq9YTJtpH0uUO3XurAxwWrpyOWJ8KENvms6TeJfEc7SDY8vW7Rodtwj+MzGiGhNhdzdJmxfH9H9AXY+fm6zYts3vJQSjlVREhg2nCPxES3wgOcvJpjs4TZRyOWx3Jgdn4m32p6D62a6A2PwLpbRxht67OrIDzEr0vS1HD10YDqQDb45BdBGN5KGV8zEl5i5YXIXVof3cURy4ZJLkrs0nH1Ub7RN/4s9B6pHNhmJNhst4xysysp1tisRSYcAOl1S3CKetzzH0fZiLaRYpguF4J2t5TNb1cC0F8dbe+VaASDaqtAM9RCOn8i3l3+SkowlZdXTr0rBQTC/yDfWR7fwYg3shfMItANDPWuFvIiKyQy+ZkYCJ/3uOeuB9P3BULNzra+dbcS4eDQzCeG8lB+R3amyF9BMjNbGOj0Sm88wHp/G7i67qZiV4FuoGl2DOVxJAL5mSI7U5jSCl6+L4hxU+ECiPor9NUyvnTaCY3mjqU8kfHlLxXpJehOuGB9JoVObqZxCzFw1V68Mz7R55ZC4VrtWqpDwecXr4QW1NT65nv7+Vu/QOo787e+7N3c0w0M5b6VvYcUWWSX8o0+F2Ore1J53cpLsN7lnkQD6WWLHlrmTwzLp7JPixeKdBp77HK/X+qe/e5SeCHqvVvnwsueTC9bmrFjeWpZPlKAUGtmPUOeT2QvK983b7gS+9IN7o9tay7f9IfpZdvfMLYfsBy87CqQv6gwy5pmZ4KpI22he/C6wpYeu2wpD+/Q101LYRYaZPJPpShee9LrFvdCWJGinQDg0552UCtM2aLLFg62SVftrBKA/ygXfQaGLzqSywZ7sQBrCMmItG6E/KW/Wc2ikbrvo219ZiFVR3GQb9jAhs860ssacz4nZinRDDCVkMmsaS7tvEE1HfHoDj3hohHPPnWoILfnzi863LzDXZX4QQKkQhqdCNE1UXiMtQ8sj+7M37wVcmUtZB3JIpBNI3YVpJtEYQGHm8vPBCdzvC5SKe90F7Dztmd36glAvLD2p1NPciXdLnTrMI0UYgTbE8xDD6q/0ZW9LgnObBj8o+k7Rswigxc1qg3M3ssJpi+06TkjTCPkP3dZsopnldAHWiGT96mjeCk8G5PPOtLLhuXjjGChzRXtWIGWw5TOAuWdkvHsrO4vWikEcGONKcVAjJ51JLOWetfRpcKhUO2qDa+FbqE+2B5fdt7Iq8hodGOxe5rJz+WQD1616CZQHTh8Xznos5sKs2ChvNO1JDtvUF0ArTCNodrRpH3lcX4utI/lgb1pFpD2xO9R5rq80ykjOxNS+6gVqrO4hSH9kXxPftFChFW/v6R1VtxUakUN4eTO976u0V0/f43BrgyjT6XQIj+X7y0P3cZz7Qq2ChjKo2196bm0O4pO9+ENy/BLoZDNz1vMqmP1KOtfk0LxSB+2iApWd8f3Str1RK1QMZLONNkfi2ORXHd9I4MM095QmLYDMcbKR5ZPbp4y2ZkwGxICWePxeUEyl8sofykc4Nrn6DoK30wqPC3ZVcTUgdXJvwS1o/axp180tIPenZ4JyUP7UUHUBYu3FPnLyPCFp+1Z1E3lUd39vlfRGJSXShOfWdKrFrtsqfdSVt85IFhFtasZf9GRP1/ic4cvLHpZs+5/tKXPGfGAE0soHMmsw84bmp2UxduHdJlUyO38omPw2QKfCwm4XlZgND75an3rcEV63WKvK9q9nKv/0QltoWh2YO/PPKMfXxEGqWzCeUVMbd/D67Y+jWrkcITEkb+ssNOK8umYs//xLu1ASGoOfqjZ/eGFsGqlVvh58/v0deueVyjpZbbuULD4cIeX/8qAdiTEMgd/YDn45+eEIsEPEwjQju+TtsdEQyP/7DLD+Jc17rqifDzg2V8a9I0ZA/t/qNn//hV+mOJziT+3Y7tFPdmO096zl/5j+39SYcqW2ftDvvxLObqT5+voU8XR780JqWV1kkg/rUzdI7xvJwl20UoZbYjs/cmC6AzP/62C5/+Wwa4KfBqZ/BQOvj+jOim4+KYjvxCP7y4jXTtOsKV0A1Axsv+DawDO/tUdXv+6FX5WBTs/79j54SX14wnT9xPsSkpF75YQtcO+60nvFR38YIYuW66+s8fFN8X4RCOcHAd/cEU3yVmdSFPJ5Ym593wXfV4Yv/yNvstf3+Py61YuvRQGX0YO/mCGHzhWpynaw/LOBXNb3/p7D74/Q9ct19/e4/LrbnMRDL+IHHx/ih8krE5STB1ZHZl7z/d2cjN/AAc/nKFqz/SbO1x+LCG3kMDo88DeDy9pd3PKkxTdRlaH9/V14xRd+43ztf/H875hwC6XX08hpHQDGH/m2fv+Fd1OTnmcCXXnob13SftCXtGyX2DnT6eopuP62/ucfyft+5hFRp8pjn53SkgMy7cK8rOGetdtMyLGiGr613XuGP58huoCF9/dY/YXCwnrFTD5WWT/Dy7w44xgC4oXdR9GvLccW/JGo7t4JE9yFcUzqXckAK076Vhgqki944hGsTqQm0JFIERU1WGrO6V1qYEWecLXniYzQhvZxc1tqfsWAj53krxpAmol5OJ2tU1iEl1PrdiTond5RkgM2kcGz2qUDyyf5FKmlwnxsq4RfdZgqrudHjT0sR1TtjR5vun8MP6leGvzt/s4ZZGgmg7TKtRsgcoz7B19upZaStUGbNXR7eT4gdTXjz/z6C6yPDEScxtl6FWL8RE9XaImA+zqjmd/XfVzHNEx4scZfpgSnGL8mZB+lweGLot0ewPMtMLoTi6tWNwjfjYrGV+MkXTV4TMrF12qyV8LMUt5qOnySDfOsLNK6A7rDiiwixvvwK560uwaisoLtV4umzm7FO4Bt5DnZ3WUk79ckU4NbtbQFY70ejto6qZSo62rjnTZEHJHvZeIvnOJ68lkQPlYXh/pdaR4JWTl+evtV0f2QrgjVdPXtypFczTcNLA0jYQ6fKLp9ge4WU1+YckuGsqDZENss5b8y7nsvbYD7yFN5FJKJW4djDyHfQrtXoG7rsgSLaxuKqfe29ZXfHYtF2rbQYw977SsrV315fEz8czbvUxoOa8MbtESVU51cGd8n0/lX1oh+sea3knomyla0Jd96eyO6MsuNfa6BjWgvPPKyr6cywur9eCDUKoOJV5sV0KdqK8ktNXu5th5TWY1dloDA6r9bX3ubCX6uoD1geisOAmp2vRKtJWEBrvdAjOvyJzuGw0MKc+3LZt7NYMQUJ1HJ27zvUL5GQhOQirBKeqDnOSqws097mwJviC9usXjsRBeYVU16KYl7A7pxpaoYfS575nT5CVcn46EYL2M2KsSU1rSqzdb3Tca3eJVnyzKNcrJ5KIl61xNDIkJG8KSvJKa9sFL4cfs9vN7DdrMed/pz1nCIJVnrxKCjWrPYlphzfKJJpkpvNEklyWESNgbCu/llr6Z/H1riIMMs24XHKE6TIR4p1AEq8m0IqYGeyUhjrDzFfrOrjcbNBYZphYjr7pIdShuZ1fIeKNWkFj0ogJr8fujTa37WtTLC5TWG6J11Yo+3UZWB/KsasZrljVJEqm6JSaOZj+/R9quXp6hrIUsJebpzfO2i9QncujqPeGQ6HKD8vI7Y2KpDxLpcXb7e19cCsdsmkivL9OHI1rh+vWpotoXJrmQGGIiFxdKEpxdcWsj/VKIn2OWCK+oUWC1MGKN5DDWfZxQkmgOu+xQPvZol+1vdZ+9knnrOZNVLX3w3BJWx1GSeGsugc6QXUloyZQdi7eKe56z+uVz4UlNe85ko1Gd9KtbPrnhlMguNW6ekJ1X5C8rdOPpnqb3uKH54gUqTVHWyDiN33RYKY/luQ6QXmiGzw3uWviLQZp63k3MxS9fotIE5RzkGdHLXjZN5OpjhIBeQXKlGX1psHMt3ShCpB3o+9zVa31pSiwy6NdNeZi/K5dCNBJ3HT432KWRMJkXgv9wl2v6yxeQpjI+Z4UMHmksOn0kibK1vuK1w87l1UQn/CJ3PV315QtZj8RBmoBWRCQvVL0jPdNCKhfX8JnBTMFelahOGovem78Xrzdng1vfS4Trr2mi7fmmK+i+NJg2wc1botVUR+nWflGfy9jIUsjEuSKTl9DsbdPT2srPpnOLSTXpZSuNPo9z6p03J9LejNPVksVdJ3d2fl73XV1lwzdDyXq6pTQfHD7zFM+krxg+3mvjrEJEdfJ8V10geTVHt55q10q2uO+lFPrD76YVerYipo6Q2nv6aDshVrZGEA8v5+jGUx4lBCPMWm2haHNFSA1m1qDnJTFPe4/uTvhjuSKW5aYVtn09Q9cdq1PJKNdjLfSABXQjWQw1XxHzlJCYe32bKCtiCPLnwxSzlLZDyxO3aQHdjiS5VB1KqEKVDWGYSrv7u/qadtM+pNspUF0gpJblsek7MgvLVnBQHjq6QoxVN0wklno3vDCby/wZTSgSdCWsQKsD2VjtSDZ+1KKvHaeoWkIf9/hl21Y8PmPwhZCx+0I6SJuGPgEk5EPNUNNMHLrueoIYSQBuSZYSdoaEcS5tV7R0BS6PxKsKaaQbxg2XsE8VyXUricM63Oc0VRpVZMTxgJj1F+jA0owV6aVApNZ7vZkYqkMhMY9aWiOZ6ivOhjUbYv6YWrqRdI92UyGnXxuaatdQPhrghwndKJUEcX1neNaisoy4M8LvDghFSjOR7tbptbohoI8yD9VRTsgt7ST9SpJwZbToGw/6OUxoxzK+9LJn8uv11WNDvZcSnKHblZfhXYIaQkRZK50eiqxHClnqiSK9ujV/HcJFfVhImG4kIYZ7JOb9pbJuGoAPBGeoJ1o6RXuJ3SoP7cjQHhbSxSZ3wtt8Z7+oNEENCuLehG5XiMyb3ZTyUJKDuhGbFVXfaTzvqUjHmeQXbu1nNRzC7hh/NCEMs97QW0kMqx4aVsRNUl13EbuQji/AvQvhrrzR05295aTN+axj+Shh/lQ8ElOvM9/yzBs9a2kHBluKEWgnKdW+o3i1HQ5onu6K4VvVrN7bZXUscUZbykFSXrKWxYtaWkjHBF22hFyayN1lLWvfPsRMK1TTUr47YXEyIVo5wKZeJw0Cg5e1tPEZJ+gqIWQJ5Wl2b2P5j55i5jU0Lau3xyxPxJjZkg0DV3YRGX1RE5ymOShIm46YWJaP7vTWAdpvvyfecgjMPhwJz23fM8yn8jJwMyF+jgaWTzIhfjaaxWN7b/Hqf+VDlJd5n76bUB4NCE6SCz6XJ6NdKYZfCCXd7J2EkQa0Yv70vnfQfevd/qWgmL2d9W11ZO6aUY+hXipGnwu3aDNKGPeG5G6n5/brbwHyXJy/I00FgxXPotqXJI2KMPxcWjzNRhafDfBOsTq+z0J1+a+doj0kM8/8ibTAbnYDBKFjjElALw2jc/GcF6eGZpATjZCOb4zKenzfeod2JP38ykNLvSNQMZ9F2olQbtIqiheGxWMNjzXFS/nG1bG+F4Ptvv4OvrAC/XtkhZA/7/UdNYz2l7StJZ6PmL+tmb+tyc7luK1O1L3vbb/9Dj41+ESzeGSo9qX9k08i3X7H6HBB21rUxYjFU8XiiSU/l3ZNy8fqXpeR9lvvEhJDSDTzx5Z6X8YXTaTZ8ai9BiLoi5zFY83yUUJ+5ohKGmDeHV/3zXcJmYxvdeyo9iRZFg00OwE/6SAq0gvH4olh8cSQvxYjtHyk71/SH7wlbdidYfE0pdoV2thoBLvdDSJRR4oXmsWpIT625OdyWa6OvoKm9NvvoPvE4fX7KdWBvHZUkLPRDYW6snhhqHY11a4mvxRHaf7WNqva1b/5FFsHVAfLU0O1p4Site7xwpmQmA9eyDlbHjvagcGnisVjfb9ryR15M4n5jsKtBD+XXXkGz6VXmQry4WtsWnlgez5Li/ZCAOyWgWr3zsEcWlQbCIUjOyvJn3X4UUZwmtnbKT6VQ1ofJJgqUu0nVPsJybTDzT3L021XrZk40tYTJxnZq5L8Sy+dK1LD9N0EnylMGVHHKW7paZ2h2tsT9MDCszzZ1lfvpSRKEZOC7Kwif+4FP5warr7m6AppGT5/muL69j/17h7JzOMWgfJg++FQnqTSDTXXJFNPdt72T2nN9cdyWyZT6YprSwk71DsD0qlAs26ThAPMn0qMvc0VyTKS/TRQ7Wi6QlE+FqC+v3bM3lPCsVtBvSvE2W4RWbyzvVPnb+eyKVOBPu38XDp6BAeLtyOh8LhLy+KxUOsBnO2kZBeRZB6ZfXCjb3XS90VLxBsYvIgbmNni3YDaadDPM8ojGVc7hPLYkJ0Lbvfqm9tjq/bloM7e1husZnBSFFA96hgeLVm8GrJ4aoAbr9fNZdMv3tm2QounKc1Iet2pIBCkda+rWHjcoKFdJqxOhcKz2fUsn2jSC9E3/9a2azr9oKCZSLdp6A93FukGgfH+kr3BilmVcvWoAA9x6Fm9rbBXVrz6vzDb1vduJhfb+EZfcGIwRocLDodLZlXG+eNcvOjCs3pb464MpoT4rfmdtV3rUxsEBkUPhzuoGQ9L6tayepKgGkUoAou3NOmVoDpWX9/+3sXb+c38efFApallxO92ZKOatjWsHhmIvb6nivRKPM3Z17dd3eW7Q9pcbfoomkY4iQVvHWDcElvN8onG1MI1vXiqSK8VyTQy/Wh7vyyeSDixHku4LTuP0h0jgepxhxvXdJUTEv6VdLxYvKVIpmLDVk9ubpn52xq7kvyDW4gulMDf6v1Ic9ShF2bTUADA1Aa7krzAGvr258n/MIl5oXArmZBmKEBwW8UNt61bxE0ywieK5FKwpF12n3RcdRGfW3QjN5IkCqQFh2kjXa5IFqEHXEuTv2Tm5Wesune7qSDPfN0FQjCQWrndnd5UYyV9T6l6YgR90fcOuxeq6KWd9A0plSIOJKkUjdp0pUivA7aSxVUeivOub+p4X18winrX9CB1Q9TSWTgaMCtFOwqkF9IPrtqXqqfiVaCe9H3j7nxwcNLmRnVCKh9M7x1oMAtNmATSc00yh/Iw0iRQvFTUuwJbivpOy5Qet6g7NnE36XIasXNFuxN6fCjU+3LQsou+95yG2+5LNIpmIJtwfSBR8k93rQl7fVPFIF60XUFa9ommkeKuKyTZ5v6F0cOEooXowcwN1TjBXZlNpZep5QkuxOr3wf1trqj2e27eFlQi1ZU+AVUaOmexZw5dS780d21A915cqtB2e+6asaI6EB3rvRhcJCaRqnaUiePyfIRZiVcWgmCMu4OWrtG8Pd5uCtcOFNXhTSyY2PNXJ4G6diyThIuLIWapIShCkM9sDzq6RvNk8hX6DmSvRdWPz/Yc2LWhySyr8wK3EGy68n1O4MCjS81gsv1+bwaK8kBtGhasOWRDAlSaNjOEs4xkKT8QOjn89W4Q52e4bXSboabaUxtOZe37SyaR5gNdobHnTnintTQMBUH7RK0I2fal2uVyNogQ+kqM0Pe9U5UmDDXqUvQR5RIyjXiwykMY3bi6wUgBiakFo+1T4Qt2C9ljqtG4mXAao2VMdtVzJSfrPfjnyxuNrixUj4PsDStKmOC1p3+uSLvzLuuB6hNpv1JPvoI0W0t7cJ9qVGEwvfGNui8xzmVC3Lwj7Lm+xFbwutWOoBK29Uk7aqLpkxhS8CB9vmJPCs2mfbV3YlxQUoxwr7md6tuGG432gpddG2cVoBtIAie78n0DTEXTF4fUO/pe+APEiPm0x6TWbBIeKkAceHxutloXNSOZo2YipZlbEvqF7YsSTN1vqij/y4qGdpCRTuUGl6IGics2k3BP37r9ej2SIgCpwgGCrEc2rOnyVNqur+QAd4VU+kj11o2+YOiTrBLjWpNYRy0lsMPRilVRkEx7rKXtD1kmlUt3x+ZTNoZzfTChh4KpiEs6qkIufxXBGwjDAEHRTjp0facwJ1WbDhVKSdWeEFPflPB2LsHnbMj61yXNfuyh2X61SZWStOWRkIzMDzqidWQvX/HajPEDDzZKKWkScEVDlt1vorXGygbH5hKJRpJnSkV2spLXaixlvy6CV2ADpujIDxr0PY+ETWeR6IR0P/ZrpBQMs5qlKvCJXBR4meyYBtirsXcu6PUFGi0EI8/rqKVKESUlyyudSjcOGzfrFdNIs9PdMzShL5sNtr8Uqv6i1vL/bd4RnZT/RxM3eOSQRPGEv3L+bi5nU/ZjNpL8z7KWlZHsV+x/LlhZu3av25Q23/5en0Pbf0u0N0Uz0Qp+XFU3Xv865ND0nWLeJA8k5g/yIA/yIL9CeWAZe5AHeZAH+RXKg9F9kAd5kAf5FcqD0X2QB3mQB/kVyoPRfZAHeZAH+RXKG9EL7/xXfyfqRjCfKiCsQFY4Sw9/0JCel7STjPLIbcoA20LKR91CYFB/+rdviIbf+a//TgSIfaZVtRpsxM40p7/tyV8sqQ8L5o+l5E6ts/WZ/P52sE3C/eHf/CR2A2l5rLzasIill5rH/3CFu1xRn46YvpMIBWPPBdEWQrDeDuFH/8mNvve+91vR5wFMhKhQXjKn7srw5O83pC+XVI+HzN+S711nwDf4wuH2+N79L38rhsKjcoG3RK8wSSBcJjz+h1A8L1md5htib9WtM7RssrW3iZrf+95vRT/y2GGL0oHgDWnWsLosOPmHhuGzmtVRwvUHQjBi2pss8Rrs/qP/+Ja+T34r+oknnVQoBd4rBnnD9Lrg8O+ljL6oKY8SLj8WxIepJevrMzbVW2t9H/ytfi2KnuTaK8ygwy8tR//UMv6sYnWScP2hoABMn63uhvR7YXstPvwbn8SQgB8Gou65a1OPWhn2/lgzfN5RTwyzd6Skdj133XBNOr79rR/+Z5/EYKGb9CTXPZpAlYaD39MUrzuq/Z4U3cl4UIJYESTGNon5B3/rk9iNBE+6Jh23ztNcZRz8rmHwsmN1ZJl+KONSLaAly606Gd/P/o9/eUtfu+PRo15fVBgr+g7/mZCsrw4t1x/JGVzTa25IhwJbxNlf+08/ic0kwqRFmUAMCu0C/jrh5L/TFC9byiPH5TcEtmVqJeiY7KaQ5We39H39P/xebCZR5s8IqQxJQM0tj/4JFM8ryuOMy49Nr0/+nk/lu2/vFYCP/uPvxa6IN+vrFTENqJXh5J/B4MuK6ijl+j2B7ula1qNd75ewfTbe/T//VjTHJUe7cxpvqFvLJK84mw3J/8GQ4QtPuWeYfq1HR5QK1UI7iXQ7HarRfPa//nfV+pzl7814d++SxhvaYBi4hp+dHZD+gzGDV57yQHP9saBLzEpsZDcMxOOa6BWf/U///T8XrPtmDjIDyVSTnUnNexQcOvmFkGisngyodgw+E9hYMg89HjVuIFK3ZfCZIZnGTclnl4OKCrcUeNfswxHlnhyi9DoKF8NYSoPdLGLv8NUe/UFAxUgwgmkNRmBcrvQ0OwnVYUq5JwYjmcceeiZYvuGLQHWnRvrw98HWAmFr8xsMrFtG2rGl3tuh3BfuhfQ6oDso93VfuSV8nVvj+z2wpSZqTTOSEuKohcqwGUL1DSEdR0FyLQe32u9xiUvusYwd/S64lSK4lHokHLPR5Ew8tIPI+bdy4QWNkF7L2NuD3iCU94mkH/13oa+Oy2lGUqUTDIwQXOLZdzLqfYFlSXEC1AexJzVXG8YpgKd/X0rAghOC9WaoCc72cDrF2a/L2HQjBSY+FaC5XQhHKXdQQIc/FNJxFPhE04wU64dZO1ScfcfRTASDncxUTyQdSabCjXtXjv6g5yi2ii5f65OKrupAsXwsJOaqi7i5IlphRUummvxVD0zdGp/wLETjaIaadiBY5SIKvrg8dNS7EQW4aX8pT+RCSK7VvTfm4Q8CpoFoEtFX9PoQUvTqwFHt9/C26/57x1KenFyre6xbx78rhErBGZqRk1J4J/O5OlIsT1Kqg9gXngh+uZkE3EKTnd0vZT355zXKR0KiacaGNtcbaN3ySLE8HlDt9zzEU7mY1+tRvLy/Hqe/XcvdZxXdwMj4rFRhVrtQ7hfUO/Sk93IWqn3Byhav7ut7+t94UAnt4BAKjRorrhMwPd777NDS7ARMpUinfdHEIyGZz79wWxV9T/6eJ9ohr8djulzRFYpXBWAE+3/xTSN45lqTXgoUrzqUDiHJT/IbrPWfI2/m031thDi4Ey/T54LRrHct6VUknfekHLVgebtMyhfbIaAi9fE2HjGZSSVTduUJTjGbWJqRGJr8lRhZFaQkuBkr1hy5umZDvnJbfCqFGvnrhnZsWTwSsmHlDcWLSH4V+kOrmD+RypOQQH4WIEa64g5BTZRS5PxlTVdYpu8lVPsCqh88E0L12JNolPs9IbWV79IeqjtGUndSLp1e1KRXlsuvp33FkWL4pWAytVRP0owFG2tLKYtWAco7nR5MK0YmP69Jri2X30ipJ/Jn7nMg7fGJvdet+gNlKsHk1rt3rG6Po81e17iFpdxPqfeEb3T0qVyKa3xnO5KxFq/Uhnj8NrGHT+Vyc9OWaBzLE+FJEBJpoQl1837/7MmaZmeK9Eo8yWrvztjUugw54J2hGSnaMRB61rJaSpR91nvynXQV0F6M8l3S7DXPq1t6oja0p3pT/ZWdi+e91uezvhDkte5J5m8qxTbDC+LlpFcturVUu5ZmV/5e8XLdokaMYbDy6lBX4uGqCPV4e3yqr+lY66t3LOWReICD5zKPGVLksv5eNxeyJOW5R7IeLQQUyawlasfqUEjMVQfFK6l+RPVctUXfUeFak8wEr13t38FNJxoVIsm0IaqE5bGhPJLfPXgeex5emb92KHslvRS+Wt1F6p3tsxac6HMz4exeHbjN78xfR8Hkx17fSFjg8tfyglaee3s5JDK3xeuGdmBpR456JxJSIW1XEdSlJiRRMOaNIntuyM+kW0h9a//5TMY2fNbQDi3Tdy3VQSCkkcEvDckcUAafRur9gCmVXAYv5Gysjv8lKtLSK8jPxePo0r7WWt8A19dtQHTTVxBNBICeXSDEJnvbE51OI9llhyk9xEg6FjaxYGDwqic/8Wv2oiBVXx24FRBF/23JX7eY2qNaj10p3MIw+blsvsGLFlN2QLY5cMFIeWmyDLiZF17TW5LMvfRli8IJnMwjyaI3Ql/UECDZd5uOEzIninQuXtQ9+rqFxy070Vd2uEVCMpMDO/6sEq9h0vPwKtGnAv2Gu7+x3ML3zFwBu2oxZcLoMzHG41+s8LmlmVjaQvdev4RU1h0tmp3t9U1mHbqnYTSVxzSR4S/B1pGdHy/xqaE6TKU0uC9mSBbiLa690LVkZ1UPTNeYMmDqyOhT0TX6bIXqAsu3CpqBlBlHs64Kin2xxPa3ppfS3SNahfaR8jDBvJa5mfy8wbSB8iChHku5ZlfchJdMBexuf2t20W4qIbMmsDrSuL5ydvcnQnBe7yWU+307mkJtujxsSoZvj++qw1TiHiXXLbaUIhfTRkafloTUUB24fi36EIPv2akiVPtfMb6e1S5pA/bYsPMTUD4w/oXoWx0L9eGayBx6jzRAdZdkvScxl7kEc2qY/ETWY/yLJdFolo+zLQ947e2ZRqq+tvWV0POCuEWH7hyjz8CtIuOfL0Aplk+KTXhxrUdevJHyDtlSdl6JPq2wyw7TOEafB0wLw89XECLlaU6Xy/ytK1J1Jwa+vLtfrltUG6TjQ9mRTQzFK9mrw+cVPjXSa7EPtfm+mk433DhTveSvhRZWdQGzaumKAcPnUgBWvKoJqabcF8KcdeVgM5ELwdTx/ma5I280uqYWpcrL4JN5JJlCeaSodxR1FFLv9FIoHUFTHSjssq+jvlOql1120v2g9YTEMPm5MEOcf3vA9D0nk5tC8SIy+emCZCdl8SQhuxK6ubtPKGCzsaJSjD6Xhbz4tYLLr6dEndJMRN/uTyuC1dQ7KW7m0Y2/py+5bjFLeSb7wjH5yRzVes5/Y5fX382lr1IBo88ju/9ijs8s0w9ykuuOkOh7LF5u3mFWDShFcIa9PxWi5qvv7PHyLxb9xQXjXwZ2/nSKH6aUxyl2FWjGBn9Hn26C0EP2VXz7f7xAr1pm39jhxb8x3FQMDb8I7P3RNd0opdmRmvRq9ytKlSOo/iBFqzj8wRK9aJh9fcLzf3vU8zLA4Fnk8A+moq9vmVTv6C190mWiX28l/fB03TL/eJfXvzlAt5FmoiheRA5/7xo/SChPMuzS92XU20PzqUZ7ISlRXeTod+fouuPq1yac/YUUW9Ff1oGD709pDgoWj3o6z8F9RrXgtMxfEC/9+J9NUXXL9Xf2OftOJntdQfE6MP7RNc3hQPgkolRXfiUxdYjrz+XwBwv0rGT2a/u8+LcGsnZK9t7B92eE3NLsJvhEU+5poWq8vRRabdaDCAd/uEBPV1x/95Dn//agJ0iKDJ7B4e/PCKml3k/FgO+ZDdXgzfwZTNlXtIXI4fcXmHnF9Ft7vPzXhkJinopXfvCDGSETvmLdSsl8l2+Prxsl6KrfewoO/nCJmVUsPtzh9W+OUFFKj4vXgYM/kPVtJgm2FL6Wrxxf1UkPyRDZ/+EUtapZfH2f828PetZBxeClZ++Pr/GjlOogw648zc59Qn7VBHTVoYJQOu7+8AI6z8W/dszzfyMnJFKdNvoMDn73ilA4Vk8KTBloR9tkUNEqdBOlk4dRTP70CjrPi//JEZffSoRcKvGMf2o5+W25uacfDsgvvJTTvzlo+2aj6xN5WptaXPrVoWwMn0tsxS3lIPkcpu8Lt4F4L3Lj69n9djPKi+HQPtIc5vhUeBXcvH+GTCRGunxLDqqpI8msRQVLcr0906bqULWXFjYgFIZOSvOGZx7lhQVfeSgPEmzvgdlFg161JNNt0lVdtWLUmhbTBfw4JebCip+/lhhutaukdcpJgVt00jds1hCdIbm+87096Tdthwb8TkE3yYka8nM5XD7rORoOC9yswS496XmJCjnp9bYlcpcrqZMPojPsDAhDobFMr8SriEaIYdq9HHtdkyiFndcQB1R3Xh7ufNUf8ij6hkKjGKyQiqxDH8H1RNdXpZRbL2qUH1JPbvS5i6VwmMaIVQq0ImSJ9P0qpa+abiSk0u7muMsV6aXBna8wBwXZ5fbYsjMJ/KvWo8qGmAst4trQ6yaS9B1d270cN60pnMYuO6qDhGay/YrJnvVubduh6oZYZPhRJq+LvvbfLeVV003kW3OtsIsGe5rT5dtrm7xaytx1HlXVhInQMQajSK5vtb4xQjqenK9IIuguoLuc8nhbX/pivlkHVQtxdhhkEp55JQxy61LcZj8nOStJrhRm2aJ8QXbh7uib3Xxv28n4MkkoF6+D0KfqPpk5SnFXJWmM2GmFqQcsz7etpDvr90rboTpPGGaEXH5ndt3H+aeRYMAPU+y1cN/a8zn6eEJ2dIek/mIpdJFth4mRWGTEIhVK1UocPbvqY/A7OWZekVxr3MUS3Q7J9u+M74tz8Zy7bkNBGUbi2GQXcZOPCg663RyzanALT3JRYpqMaufmrCU/ewXeE7sO3fMRh3EOCsY/k1BGsGL4m92UZNrgykh6tsKWCenlHTLnO/JGozv60gunQnbDeerTnpbQyPMhOFgeB5JzQ34m8VLdSaPBMNz2dN0X58LHOciIqRGaQiON3NqRIr2C8hiWKYx/rsmuAsWrFrNsWTxKN5nLjb7nVxL3zRJCbtE+4FOLTxTX75sNggJARU2XKYbPOnTd0R4WG4ajtehfvmTNuxqGOboN0k0hhfJYk14Jg1B5rNj5CfjMMXjZYJYNq3fGNHcScxvi7MQRBzmqDeIpGMXyVOHm/bNQQzo3qJiQXNXoVUP71vB+HPGLV0LCba0QSYcARsjPy2Mhpml2ZXMVrw26sth5jSobumJ0r2GeevYKEifkz86K1xsltj470pga6j2Jfw2faazVmHmFqlp8rreJwr98KTqShDjIAbPJWq9O+gaPoyhUkV8abOqw0xrVtLQje88L11+8FsLsniw7Jk5iiovI6kRIfKp94afIrg123vfd8hH/+KtJx0kcGAM9sbwKEVdGlo+k/1+9K0xSycxhVi3J+RJVd/i3i3uJpQ2pt9aiD/FSbRVYPOnb61hZ29EzLWGXpWSW24F4rlvy5cubtbC3uhg0kcUT3V+monPwSmMzi11In7Z2dN/TjV++FIJwa8E5SVQaeUpP3zNbIYrBS4NdWsyshrqhGU/u6duQjhsNzgkplDHoNrJ8V75f+JJh8MJgrMZMS2hautFXcFd/+VKMo7WoIoPOgxN95aGSeG7POpifGXRlxHloO9kvdwir/Nk5KklQWdaTouu+p1pk/g1ptxSNIK/qPYdNhTgKpSTEdyt/4s8vhN84Fz5imQBxMi++Ezd8Du5K9168Focic5QHyb9cY8p1M0JpIBgZfxZYPDabjgH1jhDDDD41DF4I2Ux+3uKmNW6RcfUX7gS7d0b4cYrP5IDrJtAM3IZ3tetJdbLXinQqcVJTdqiqk+TbnYUL4wK0Fg/IaZLrmvIgoZlIhjxq8XptJc0KTRXIXq42LVvuPVHGI6LR+EmBzyxm2dKOrcSSgyRo1hy4ppGGkO6qgs5jqnAvHKDyHKwljgrxCoL06mpG4l01E4HopFcK7xRWIV2FnZABoe6cdKOlO0OeEtN1JwtH3dP3tWPo8kh2oWiH0jxQVx1xmN4jCwIgCj8tTjwDAD9w1CPdd12V8EcyhWZisasEO6sIgwwi28QexoA20vWg6HUVEnNNL9lwm5pG2KBM7bCzmjAp+vjuV4xPKWLfegUjpNnVrsRafSIvruxCUU8MhFxeRF4agLrFHV3OopxcfoQI1tANE+qJ2nRk7jJhQmsmFt3lmFWHypwkOFd3xueSG1LvLCVkDl84VodyPppxxA892Usr8T9fYBet9M37CmQPeSYXVp4S84SQO9qhY3ls+mRSpBt60jNLNTGYKpEOJlZDvGH920ydle+lyKWbhzN0k1TaagUIhSBe0itFMzHYymEUxHEqBFR3OXn6UApZSnRiNkJuqfYMthQGvnYIyUxIx+3KyWvxcKen5Iz3xoe1qGEha2w0fpBQ7RrsUjqXBAesoB1ZTJ1gVg1xZ0A0N81WN9tvdwfyTAj+C+lEUR0krI6EqrIbCA+zT4ULevhCCK2qo5y22EZ/mN0dIaffGQhxf4iURwmLp0qS+kPh+vV5ZHmiGT6PuMrLC2uk74XK7sobje7VRwbdyu2lYp/FHkg7mGD7g9TC8FkQFjItfdXsnrADHfyOgv/Fjb6zf313Q/cYjKIb9LCXmk2iRjcCF1sdaNxKEXVGfJRRjzWjT7fHd/Hru6RzMaaLR5ZmIt7weswhEejV8JkXSkWtafYzQlqweGRJL7cX7upfPZG4WpAwR71b0A0k027LHqlwDcPnQSY3VahQEPWA1bGleL2tb/Ebb0mXDaAe6Z6YumcH6/GzbiEQp2pP2sTnmWB2lyeGZLr9vfV33qErBINbjw3lkaABTCMtlLpCnvHJVF4a9TilOLNErVie6Hts+90336UdOYjSMmd5IjA5U4vBbYeCynCzyOJUU48zBq8k/LA82Sam9h89lc4XEZaPUlZHZsPKVO+AL3q40zSyODWUe5ri3NGlivJA3zO67dceC5F9J11ml6d6w9ZW70d8FtCN9A9bHWlWR1r6XPVIkLtGqPv4LdqhRXeRat9tvpUo3rxPY68vsnikWR2mZFfSzXfNIXtbmm89xacSC1weC2pmTVDf7AT8IKBquXCqPUW168iupM/WujX9bSn/wlubbsFrFE5II6a8Mbi61mTnkrRpR45kajek7XdJx5vvvLuJ5y4epywe901jm17fQPDC2UWk2lU0w5RkLom61dF9GlX/8dvSLaMLrJ4UzB9JO3hTC4qlKwRLnb+OlHuGejwgP08JqRDM3/1e/9FTopELozzJWJwYwRzfch5UECO+PNaUexnFuTAPlgf3GQKXv/HW5t8Xp5blk35MnRCYx6GHSmMqS7UPXWHJLoUitTyWc7OW6b/5jiTsmsj1B47FWxE/8uKk6Ei6W1EvUtxLSzuA+VNDeiUQzvm7EmJ7k7zR6Jbvy3WslhZ3pbGlAIDTc/no1aNAtBEVDNVxQFdyQ+rOsPOTQHsHBjT9sKetqxTZuXCqdoXaGN3yWHB0ZaeojoSmz80NtpLmcos7XU+XjxTdtSZqg11Fhs8Ee6s70VvtR3QneMw11EY3EnZwq/swlquPhSNTeTH8+VmkCpKVbIeK+iBiVoqlF7hRtArzNCGZSqvxuy3OL74ph0x7MTbpdaQyYijKQzmcbiZx83Ykc7N8ZEmuBSUwv0M6fvn1VLKvUYi/k+tI3JcncXsS8EOPu7L9IZDvXZ1Y0iuJq06/tn0yr77WJxiUXCrplRwg3UF96ImZR585uoEY9/IEVseW/FzwodffuLFEy8f5BtECkF0G2qEYq9kHgZhE3LURAxZhdQqrR4bstWCoL7+5vffmb6d0udo8I20ZCYnqccVShBG93UDN6v3A8on0JEuvItffCHf03WTqVQRTRXyi+lZCkZAHlDfUe6rv4hFYPlVkZxLfvvy1Oxf0h9KEMiQ93GomeFDtwQ8CZtTilaU8liIbn0VWp4JvtktYfHvblbx+P9kUxuhGkEPNjoyvHHnspKFbOFanatN5VwWBBNolTL+xbYXmb/WvjbTfz5eSfzENLJ9E4qBDrQyrY3Gs2pGclfRSkczuk4SXjySW1GVyQQ5eeUEXBZi/K5egXepN145mBMvHjuwskk4jF9/atgWrR7k4Hk5tOrw0Y7mMlk8jIYvYuabelT1UHsPq1JKdC87/6uPt/bJ4JKbMO0G7ZGe30D/vVgyKmusXY7qhXK7VUaA8ViTXAossP6hv6eq995H87sEzRd0nK4uvXfN055ofd8fUhwaz0pTDwHLVw+1qhX9yt7fTtrwZvZB6olcEI2zpftiRZg1tMyaZK+xSoXuIV3KpqU470tdWcLuD+7evCpKB1a2mHUOZS0UKZwa7kI9fA92TS02933PABulocBfcr4Lc+qYUI9uMxZO0S3mu2lIMUuxji8GACT0g+353HXQjz327VLRDRXkgFU5RSXDfVMIVDBKyaCayUaNWtAPufa9p+oO4vOGhbUcSRzKVHNb0SvVGAGKPlwwpVE74SrfHJ8bflPS8xOKRGi1z5wdyaJQXfSqqDZl7N1BEtz1AW0fKUR+Psjekz2gwS02Xe9JLtQkluJnaEDtHBTG50acCkgRVkkQFNnAau9S0aUd6IZ5cMJCfqc1rpHb3SamjljhrsDKPEbVJhLiFokk06flNLDG96MnCXU+KfpdAPwjOPPS5CBDj61OpKApWgO5C9g7ZmSjwSX94v4Jfdh27i2b9chG4kC41oVC4Sysk6048KdMo2qG0K+IOKbqKkWZ4A3sLtidIjwqz0viBxl7aTXJOdbIf20HPG23vPN/9jVOxbvEUtXyPLRVtqkmuzGb8bt5zZBfIZZdvr4fqJJwowVFZR/okq10JdDQ7V5uOF8mMmwanuSKk298bVc9tDVuhgtBz/4Y0yt5Tch5E382+D8lX6Bv2nZj7b13vr7ayhLzBzKUYJiTCD61bITH3acRlN5fW+vWgux5Gp/tfQKQsE5aDhG7u+rMPqpEzXB16YhIZDu7GjrblzeiFRd+AUIEZdoyGJdYELoZ9VF5BOwwYJ1U2utLUxx32M0t1oDY4yM0vW0j6VUV5Cvs8EF2gyzRuJgdFCMjpcYOKbhhJLxTlSbxpzrfeCP0CRwtNcfP/fQZqeUPavG6JvQ6PpG1vrO82B/QyudImpSeVTmLfzqYnPe7jXeueac0Ysgaqsdp6okCPAWxlPJ2W378m7zY1hEwgPfS6ouoLEhp52n+VEVcdW114g4koq9CdQhXdZkmDQ+JOTuJVzSTce+KtN9Ua46o7ma9AfyGMaohJv159Nr7//fXenU2/zoRn4v3Zsv9vBnSjMKMWFVwPbJf1tUsZZ3l0/zkW+o4H6wTSOlwQnMwXmQctL4mQRtByOYckShXdHVL09fgkjt+TmPf6dSclxtoLJtTnkdjIpRBdX210lwDeA3G9Tr0+vR6rIi0aOpUK0XeftApO2gqFgZcNcUefihJ7JKqbtXBAUCRZi0c8hXVSL1qJK/pxd6+ib11s0RXy901fRhutzJ8qOnRrZf0H4v2tPeh6338l1FQuQhmrLePmclAdxIFHefGam8nN/vJp3yPvLlpR92ts2bw4ZL/0c5kJFEf1hVnayM72iYSX7oY/1uITNn3+ZCKATjPJK1axP1vjCAFc13d5eFShbjk4m3OqIOZsmohGBUpF9rMlnxmZMz+Q13400kJpuL9C/XmD26zNA4n5gzzIgzzIr0weWMYe5EEe5EF+hfJgdB/kQR7kQX6F8mB0H+RBHuRBfoXyYHQf5EEe5EF+hfJG9MJ73/utqHwPDBfEBML9qjj4w5b0oqIdJyxPkw1zlE8ENeAWQiX4J//FLdLs3/ok6r5l8bpIIipIZoqj77dkL5fURwXlvhVWMCfQszW/bjNS/NF/uU3qvSb7FmU38Jej7weyi4byMGHxyGxQEesy5nVJ820i5Pf/zidRIDGS/V1nuO1Kcfx7NW7W0A0Trj+QjL6pBXzeDBXtWNFMIj/997eJqVHQDYOUxDaKaCNmqXn69xqSi4r6KOfy68kG0aA6ySB3ufzzx3/9FnH2f/5JjBppw20ALxlsuzA8/ocd2esV1UnB5UduQ3S9JoJfw8F+/B/d0ve3P4nB9cBvHSWjngTU0vDk70eyVzXVUcrFNywhZQNzC07QJ1HDT/8D+d4P/tYn0ReRMGlRCmKrUS4QS8Ojf6gpXtRUBwnn3zYEK5Ad00hmup0IJvsXf+Uvb61tOGiY7Eg2OEZFlrRcXA8Z/uOC4UvP6tBw9U1p+W0WfRXdIBJ2W6gNv/x3/g/be+/JiscH1yRa4FC5bfnp+QHJP5gweOVZnBqmX+/ARVSp0Y0iZBE1aQiV5Zf/s3/vZq/87U+iP63Z2V1idMToQGY7vjzfYe//nVO87pg/tVx/3I9vpXtIIvhxh2pvSLNBCPmbw450t0L3mXRnPbOrgtO/6yheN8yfpFx9Xfb4Gg7ps0izG1Be8en/9q/c6PvPPok+i/jdDqWjrEfiiSvLo3+gKF42lMcJF98UikJb9pV+qaA3iNsk6x/+zU+izyN+0omr1ilU6mHhOP3Hivx1Q3nouPy62bQjX8MffXZf3wd/+5PYDQJx2KFtIEaFsYFumnD4O4birGP+xDJ7TxApa0TTGoWCinz2v/l3t9cjv0WiDygX4Nqx90eawUvP8tQwf0dQE4IMkSo1XYoxWu+/D/7WJzEkglzasLm5iJ0Z9v4EBi9bygPL7O11+begOLqh4PijYYvw/q68GTJWBLIXluyi51kwcoiLMynJXb5VUO5rulwqeQQmFIleKlXs8o6+kce9sGRna8pBMcDZlZcqp3eGrPYNPhVGs3QWiFoLXV8TsattfapTuJnCLaX44Ab4Ds1QszrMBDyvpCxYCdMjbi5G/Db0CmDyE/mn7uT3mTr2VWeRxeMEc+io9jXKR9TaYIw0yTSy81NPM9x+OBz+IGBaIVdfA/3XlHlXX0sxbUJ5IPAgUwlMrRlJaebOz/yGknEtB38Yex5UhGQ97SE7AWbvWOZPxwLG76TwJCSCC3YzxfiXYXPRreXkd3xv5PUt4mypcrp+D9S7wulqKnpsMJRHgfRSM/7FNi75yT9oiFbT5ZZ2IGTyPhXw+/X7MHsrpzqQPWJXinYUKSeB9LVh74/vV2gJkbSlGe7QjBXdQDFPpCJ4dQrLp4bmoEOvDO5ai/E57NAzy/Bf3AdhP/7HnmhSVpNHXI8VzUjmJ9hI2IfFWxp/UkFpsRdWoIJ7HWphSH6a34NQPflHHdEY6skuzUhRD2V8iYXVCczeddTHHbrSJFdCxN/se+zMMPypu/fGfPyPGoLTNOMBzVDhM4FnDQwsnsDsnUyKh2rZ8wLtCripZvdPhMrztpz+tmDsfGZukaxLyf31BzB9T9ZDzqmiG0S6o0B6bpj8+D7m/PS/73qCpm19UcPsLZi9nQkpetvzJhcC3UsvNeOfcw/SNv4p6E4TTSJ47ET2su6gPILFE0d17FFBvhcEnmdXivyVusetkb8WO6A62b8+Eyy5aSJdoTj7dUu9L10q0kuDroXqVNVqQwq/ltFnUuRgeghol4kNWTscF99MqHfE1mWXcvlV+2DnMoZ7vBp35I1GV/XAbp/JJmjGcmuVR4b8dcQt46aipB3KJml25GYqG019uA2wTs4NdiVg6GClHNKnkfLQMHzWM+dbAYq3A6nRbyaygGWjaXa3V073Py+17op2IlVZqtbkLwzpteD52mGkmfTY2EQ2QL0P9cGd2s5egoXphwrdapoPSkJ/EI9/X8oKq31F+bTDzIW6SLeKck+zfHIXGyqLaVeBZiSlndUjDx7yF4bilZQptwMo3xFvxVR99ZVTVLvbJzP2N71bBLpMsTrWVKfCfl88k0osqfKD1WNhhjO1VMAFq7ZIx6Gv3lHC09uliupQUz7qpJzzS4NbSEFENxCyZtVJQUx2IYfrNmFQNzQEo7CrQD2Rby3flqqr5LWleKFIpvIa6B5LexQ71wyeR2wZ75GYdwMt3LdXHpCS5/JxByqSvrJCHH1l6QaB5rRDLQ3m0jH8XC7su/qakeDD8/MOW2qqPUN12oGOFJ862RsXCTEPdHsdemEwF07GPdsmuQaoJ0I0lF16TKMpj4yMDxh8aqUYYm4IRaA+Cpi5wV0bBs/68d3hSm5HtmfEEka962PD6t1WyIs+ddiVFIW0o0i76zELjamkK0M6jVS723u4y6VazC6FtKo8lOIlgOyFJZkJyXg7jpSPxfN2M03+uu/YMlL39GkfSaYdwVqWjw3lsXBt5680dgXZhVRCrvdKMlXCrd1xj1zKtFK0kZ17mpFh+q6mOhY8dH4m5FcqGDnfg7jBMcta3idtzy5lT6YzORuLx0aMaqdILyE7j7iF3rDmAX3lamT1OKD3b0D76UwYD93c43NNMzJChtTK78nOxaGMZu30RGwlhS/LHeDRv0RFWv7ckMzYEJf7LMpTASEqD64vJEhkYnwmnsN6Eeo7RM35aymppC8E4Nb/ulTh3RooLYTBzU7vCZ8LveRdEu7Jz8E0wvvQTBTVowBGnnO6k44OEqZQdPuB7kjiBekXCekV1CfbCzf5tCFYhc80PrOsjiO8TnGVYvJTKJ5VtEWBT6GdGqLpn2+fJ+SXgfk720ayeNVINZBV5BeK8shSfCEXz85PW9KrmtVpTrWj0a3e9EaTarpIOLwzf2dtX9UnhECm1gw/lRLoyS8a3KJj+Tijnijahdp4wbaM2DJQHpj7+mIkGE167TGlZvwji6kjuz+tMWXH6jST18zAbDwR3UZMyxYzWP6yIjhDSDTZlWd1Yhn9yGFXkZ2ft7hZw/ydgnJP017fFN0oLxvcZ/rO2Jr+0pIqQDfXZD80aA+jL8R4LE6tjMv1JC7JmuQ63mO1km8V8H0y86TXhuKlhJ3GX7T4VHhufWZvnp/r7+2451kVrxuiUkQrF42bG/IfCMfA6MtWmOSODD6XeSOKg6A7MQ53yZvyl5UA7J3GLQJ2adj9vkW3MHzWYprA4nEirH+Fleq8nvvANFE6d9zW90qMSLSa7NJjS834x7K2Oz9vsMuO1WlKua9ph0JTKL3gxMDdZX3LXzeoIMVB2WXH8tQw+YkYop2fVeg2UB6nVDtaiMf7vac6MeLB3V2PDlNLuy1dB+pxQv5afia/lOKMstYbulKfSMOAddivPtw+u/mFJ7kWwiOXGNqBJrsQ25XOA97dFHaAvNpsqWhG4mXHoxuHLr32uHkLIWIaQzURp5D+0kYp6p31uoqNEdIhcZrqx/8S3Atrg6g7qXsffiFP1/JYGIWi6ssoaxi8gPJAUR73DF8GIZm4JZtqsU5aoOSvY0/5J1VRtoo9/6p0kph3lq4QngGfSbjjtszfljYZa907f2LRbWR1KhO87klWPI/s/ETq+VenQfq9aTCD7Xr182+n6FrKWLtCWtMQFNWBjHH5JKMZyzgnPxPvaT7Um/Y1/g7xc3kkHL5SDqvY/+MWW3nmT1PmTy3tUMvmuA7s/FTip4tHhuLc33QZuCXNjsVUUXhNgeM/qDBlx+zdgsUjRzo3NENFdhXY+5OKZidh8cgyfNHRFfres6eZWEwlc6p95NE/maOrltlHE6bvJKRzRzNQ5BeB4e8t6HZS5k9T8ouOLtNb46sOM3QrlUfKw+k/K9Flx/RrA64+SEgWjnoi7VsO/qikG1jmTx2Dlx0hUfeYmdrCYmqZO1t5Tv/xCr2qufiLh7z+deE49pm0djn53QXRaqbvF6QzT5fdJ5T3uRF9CLvUyT+dolc1r/7SIc//TanMCg4Gz+Dkny+IRjN9L8eVYRPK2Rrf0G5IenQTOP2nU/S84vxfP+L1d11f6RcpXsDJ74i+2bsZyTzg0/tMVNVxesPEFeHkn83Rq5bL7+5y8S2HqWQP5q8ix/98SbSa6w8yhi9aMXJ313Y3wdRB1qMLPPrH/dp+vMP0XYdbCp1hfhE4+udz2t2M+dOU7Mp/pb5uYDedMpSPnPz2FF22zL6xy+XHKaaW9cguIwe/f0U3yVk8SUkWgXbwFeuRieesWrkkD39vhq4aLr+7z/X7Uu0arHAJH/xASNvn7+TC+XKgiV/Rh0w6z8j37v3JHD2vmH7ngNnbhi6TS2DwIrL7xzNCZilPMqpdzfKxQtlbtqrnmFZRzvXOT1bYWcX0Gztcv59IBx0ra7H7oxVoxeokpS00y0cKa7/6Bb2WNxrddRmfqSRmW+8oVJTnZnqpSBZCChEMLJ6oTX1+MutJnO+QegtdoNoYtvJAberls3Ppn9b1fdiasZR4unkkmwaaTuOu7xAhL/pEVyUx3XYkN1e9G0iv9IaS0qeKMpdndvZaU7yQ8S3OvyL40pfl2lVfUmilzDSs47G93a935JZ3V4ZsGkgvW7LzbfLiZObRbcBUXi6owtIOLd7deFDJQroZ+MKSTDsKqyi+WBISS3Z+h4j7vEX5iKm6vhOspR0KV2mfG5KLS0E7drhFR3GhyL6c0+3m5HeIn4svlxKfLhswwvnqh+mmLFN3QuQD4IcJ9romzwz5F6Kv2rnRl70qUW1A1y0xsaIrd0QtPKSmiWRXva7M4GYtg1ea/NkCP0jI9re/tfjZhXQFaTsp8dWaMC6Et6EngF8T7HSjhOSiJD+XZGI7ySgPt9d2+Kev5TB164kyQuztFMPPhU1tTSrfDZzou3Rkr0rq/Yxqb9tKDn58ASGg2k5oLWMkjHLhu30u3qJ0io743OIuVmSXjvz5knY3Y3W4vRbDn05FX90KzWbnCaMMn4jhMU2km0mSJmQGd1lSnDmyL6Z0OwXp4Z35++VMyn1r6VyCNfixkLabWs5iVspmDpmMb+A02bM5zeGAZrg9f/kXs834AKKzhHEuDQhWcs6SRb++gxQ7LSkSTfJqSXtYUI+39Y1+dAkhopoWYiSmCWGYEpwiu4wb7gSAbpziLkvyc9c3Qsio7nzv4GdX/Q97VNUICfxQCKLsSrxQu4p4B82hkMBn5w1urok64fLkhqw7e7nsPdeA6Tx+R6hZgxNKSVMrqMVuVUcp+auKZNrhFopoHOev7ySL7sgbje74syChg0xuELdc13L3sVcvHnB52pFcGornivGZx7RRqN9G257k+POOttCy8E3ELcUj9RujFiVe81YkO1cMvwjkF176ax0lUpd+Sya/8JueUdLXSROcwtR9HPhAYlYhEWa0yaeB4bOIqQKzt+09kpDhsxtPugaIiq7nAFi8vSaLlsysm8liHv4gkp9JY8y7t3n+y2tQwnkaUyeGKJFn4OItRXVgNgxfOz9vMV1k9IsF5nJB+97BhhZyLeln56A10RrhrNUKn2qUl0vPNGZD37f7kwjLjuKXS/R8Sft0dO/JrX/5UkjQnSMWGarvE6U7uP6aQnWysW0FbmHQrSF7uULPl3RPtvXZL86EONpZohuAjxsS6YtfkyeTqYURK7vUhM6IoV5WNI+G9zofx2cvicYIEffupG8EqXCryNl3FdFI00ZbQvulQYUMtxIOgmbH3kuShucvUUkiROY7wg4flYRpzn8d1kQubikvAMjRtbR+aSb39cVnLzdk6OztiPFVimQZOft1tYWkaZ5biAV2JVak3nH39PH8tRDcWytrEeV7k3nk/Dsyf1ELS9ngpUGNUpJryfQ0e8kWCTeAevYalBJO3Tzb9ACzdeTim1r4Iho509mlRbWe9NUStVjRvTW+zwn7xQshzndOvtnK3tBt5Pp9jYo973YJ2YVFNx3J2RK9WNG+MybcCVdsSMwThxr0k6EkjHj9kSas29qXiuLMYpaW5LICH3vPOd7XlyY98f2NQZbEnNp0LtadojjXpCFgr0rUJOuRVzf61JevRI+1xEzI7tff2o50j6qSXE5+oSBE0vOSbpjgE3ePqOquvNHoCjxDPNhkHsgvI/PHFp+pjdeqOhj/1G46Rgy/KNFVh6kGTL95h9SjExfflZFk7skufU/J1vdVS+QWHv9cUbyWlj7peYmqOsZOM/14+3YzjaAb3CJiV57sAmbvJLQDiQMKNE2RXt+QouevKsyiBj1i8db256sg8TblIZkGTBOYPxUKv9FnWryNXGgBizMvTPSzDrNo+gZ7dxtzieFBa/SyJllURD0mGsPoM/FIu4G0KjKVNJvUq2bTJUGa3N0eoGzcmDhU3WJWNcGNCRbpLtw3yEtmUeJlPqKbTg5x/21b6noiaSH2DlA3QCYdNj6PG8YutxADsNYXJgMJz9zWZ614y4NcvITWE6y0Oh99BiGRkJRpejq/LgjL195QKDLvkg8NBqg0EeL7UYpuPc1eRnkoHLU+V3S5kEmXe0ay8GVHdSLNL+/y36rRCDXICTtD/CCBEKkPUpYn0qCyy6MkjRPhbzW1xs06qsOMZnCfX1ZlKSrLCLtj/CjFlC31QU55IJy3XdFDpRQ9MbfHzRqa/fwrGfgwWi6/3TExs6gQ6AaOak8x+FLY89YxyWYkLwW7aOj2BrQDc1+fUqi+1QwxQghEo2mGiuEX8vrrBj1z3UAI+1Xr8Xvjr1wPEifjGxaiTylp9jjWZBe39HkhMTeVxbQevzvqSY/u7L0sQ2UpYTIkpKa/LFOq/X49MoUvYp+k1+g2xc1baYDgI/ouYVCR35DAZw4/SOkGlmpHbFTIBQJmLxTtQFM+GWKXgppKpxFd3ehTidw4MUsIo0K6HA8c9Y7EqoUpLgqKwinKR9InUXWB/DJgF3eaD9yRNxrd6/elZYtbRrpcSLu7XIi8idCM5Bk6+UVHtSNxk/k7BbYKdKnm6J8B/6tb+j6Q2Jn0QpPwQTsQNrLgJAYLMHgZaIa6p9kbYJeSRTz63e3xzZ9YgUdVkeWxEXxrIfra4oY4O/+5ZGPrHU0zLHBlTjOQ5NhtqXY06TRQvG4oDxJWhZMYbk+l2IzlWTb+vKXcE0LsLk+oP0z7rqPbO798d1cym8uO5tGAas/Q9smALhNDRJTEwfLUYStLMkvoCk25azbPtc343juACKb21LsJ9Y7ewFnaTL49akingcUjh2ks6XVCSBTVjiGZb+trPnokl2rlaXYSygO7Ifb2iaLr4/aDeWTxyFLtDsiuMrpCszrQ2Fuk6M17h6guoquW8nTA8sRIJ5AoULj1C6l4GVmeGKqdnGQZqHY19Y66RyhffvdtOVw+Mn+SsjpVG27YZhzxowCdIjvT1HvQjB3ZpXT5WJ3ehyuu/tV3hKKz9MzeSu6QXEfiXkMsLcVz8WqvPnTk54YuU8zfgbuYtuo33pPx1Z752xnL08EmEdoNIu1uQDWKwReKdqC4/jChOLN0mWL2tr5nxJtvvY1uA7pqWbwzYHk0xvfRKp/0NKJeYs7NWNEWOcVZQjvQzN/W90nbP3raM+J56v2U5bH8bhXjhmYUoFjC8tRQ7Q43DWCrfX2vU0b79beEAaz2VEeprG++5q5mQ22azOQsVrsF2VVKl2tWhxpb3V/faCRktzw21Ptq013EZ5F23CeuXhmWJ5rlaUJ65YhKeLT1nUuh+s5b+FSgj/WOEmRUJg5UO/bo/YbgFeosY/FEM3tbk8yddCo+VKRnt3R94zHBadnnh5ryUG0u0HYYYKchdhrzRcL8iSYaTTLtGdZ2hCv8TfJGo1sdBVARU2qS6zU3ayS9Erd9dbKmELTUexJnU16RTC17P+rutTgvjyTZpGuBhdhVlI3a42/rfWmncWUM1aEQmi9raTuz92ctq4Pt4Tbj/tlg5alkS/EG3KLvuzYORBO5/sAKDrGQ5pLJlWb0eWT2zvaTZ52hnj9N+1hVxFfC5Vke9t7GgI23v3ok8W43h+Q6Ut2BZNU7BtNE6h1JumRXHhWkD9TsbSO44kDfkkVxfQhuachfSRx7/mR7/qp912dLHbqLJHMhX9UdzN+66Vm2PBbd1SHYlSN/HcmuAvOnd/XJ0ynsS+InnXmaqDENXL8vHKm6g/JAKA9n74NdOIqXkfwyMH3vRl8zdugm0B2lwkd7JXF45eHyscTF7UpRHsg+mr0bsZV8a3opyc+tvXJgMS20eX+RXETaviPE6r0WN2hpr1OhEF0qqoPA6rEifwXJlWL5zrarKy1zIovHMub0QuBEKkL3bsVwWDH3A8qTgFto6t3A6lQJ/nMOy69t83ZWu1agVcOEqCA/k5wCEVbvdOiiIywcq8cKN1fUO7A61eQvFckMZl/bHl8zsdgyUD8Wa1icCe47arj6ViQUHr00LJ9o7BKqg8jyiaV4KWT2i7e31FHvJX2MWv6ZTgMqaHQXWT6C6KQDTHUgeYrZexG7EH3pVWD23rYnWR4lgjLKEtkr03USEVbHUlBh6puuE/P9iKksxSvZe9MPtvXN33J0ef/6qUUPfZShKyJqR+Z7/p7EgkMml1h6aUgvYfF024hffDOhPIzSbaMCiLT7Hao0xDQwHq2IUXH9roVEDPoqKPTCULxQLN6/IZU//3ba47glhKCC4N1NrYhpYDQpaVvL6tRJgUUSWeqIWRjyV7B4784NeEfejF64FedodiO+CMQ0kEwdg5eyOaVThCTQ6r1INlV9vzN9r8+SGGh5glQHAj8LqUcFS/66JzGfyiJErWkmkexCvMtmfP8J1Q16jlsJwVHvyuFWQQvedanRdZ/wmvecsbX8s8u4/2SMUO5rfF/s4VMlMWO7DjmI51fvSUw3f9FX3y3XCaI7WMQe+hZ7Tl+B0ijCredbOpWwim4k06075EYt1HbjRySG3g70TcsjJ0UIa7iPMdK/TXqOQfFSSfM9hDD6rj5TB5qRwKZs1cfVlXhBuhU96SUb/cUzYeWPRtoP3danukgzsVsk4bpdh4wUaKlk9Kms//Bz+W/RCLazHd95fkao+0t1nSTc5BJKg0/9JrHqk0h2LkTAXSGXZ7xDiq5CpN7VN3zNiN6oISwcbdphLgQlEEwkuZZEbL0nSR2Tbx8kFaHc1X1uA9aVjFGDXhpCIs1aTdWT8k/7vng7Pd46uxsPgNWhvdX/q99Lui8mSTTppVyIgueVfbzuttDld0jRu0gzkbVdh6nWUDBTKbwW5ykamYfBl/2rJJP9dDd/ortItSvzbcINSiU4ibtGJ7jfnut7Q1LfZaqHYW7r86kSXuXIhms3uAhOsOXt0m2wyJJUkwrBrpC/EO7MXzOBbhIEOphK2EllXiIhjWY2L/Bzh50ZgtOEsWDFQ+Glee0tUvRmhFT5hb7y0kAcdHhj0JVmOc8Ic4cLoFtFlwV0pQlpoNnVm4q4P0/eyL2gS41ZaiFLLgIx86jE060Tfar3KAeS7TeVbFICrA71dswPcEuBeEUlHxMKD2mQoHS/p6U3l+izK6kcUj6yPH3DUGOPMMjk1ukGsUdFRLpB6JNp/WIXEqtcndzveyXN9dabWLogS1mk2pTTrivtumFf0tlDUbqBute3KVgxil2qaIZaqrQc+L5rqk8lGedWPQrEqc3hXR3pe1VQ0Qi0yqcyVn8LJ71GmthKMt3t6AYEroIw4d/Tp0VHlyqagVQ1rbsg6E6eeW4lmOFmIiWdguWU+Qu3EpE+05uka1vovmTzhsHf5wG77NvaTPqOF7XslfIk3kuMBCPfFhIl/ffWY1ZAULi0k+KPUgmRdxY3XRXq4+7et8pl1zegzLkxkv3PDfMalBCS+6IvAUVive1xS/T3X0Vh/b2DW+PrjbrLxePQXmKA6/3XFZHqxMMdfT7VfedtaPrOHOuyV4JcIiqIR9gO2CS6JIN+n/A+9t/bpTfrsdanPX1CWHqwNeMepdRfluWJuk863rds7zJxCDbj66tUfSq9DoWAX8a3pg9YndwnMYf+79soYcAeu78mr8eFDWxs3TRyvUfqw/sk68ojRPMR6WhieoSLk7yKsR6Vd3S7nXSx0BGzW6Nyjz/djlWoW3sj5OJoAkQnEDzjPCSBbhTwWYAkkDxZwrijOW3vRqLuf/YDifmDPMiDPMivTh5Yxh7kQR7kQX6F8v9h70+DbdvO8zzsGWPMfvW7Pf3tL3DRXIBCQxIAAZG2Jcp2UonTOKmKIzmK7FScpGyZtqRIsmO5HKtshUgljhOnceIklVglR7JEUgAptgABoiH62zfnnv7sfq9urtmPkR/fXGvvtTd4VWVW4dcZVahzL+4+357NmKP73u95nwy6T9qT9qQ9aT/B9mTQfdKetCftSfsJtieD7pP2pD1pT9pPsL2vZOwDf+OLkmVzZ1lZFHhzuPLtDO84o+mFLK5HIntq1QpLUlgx0Hz3/3wGLv7wX/6ia/yzOE4hkpgUdr6XE+zNsN2IbDfGtvGcgTrSQhnrar79n53Fe+mvfdEtaUYrW2ojfNCd75WEe3Oabkh6I8aaM4Zv2dH4mcDHv/N/PYv34r/7RbfU+66yqb6UwW7+qJBSv17I4kqAbkRyVUeaoq8F7JFo/vD/fhbvo//aF50p3CrzuyyK0BXsfDfDP5hh+zHzWyJQ9HKL9UTpEMzln7/+d85AzZ/487/sliD2ZbwmlOe09cMM7yTFRgHZjc7qHYBk2L1M7v33/94Z2PtP/AWJV8ci36K1sDelxDOzHBv5pDcTqTuvRBXS+BLbevAHf1uu7+n/6G85by5cW7TYrjehQ1dw7fctwbgm3/KZXZciFtX+rmUZdB3D6//eOlBetyhOZ1qZUCDv9uofNITHBfl2yOQZb8Vldloy3d5CnvOr/8FZvA/8jS+6JQ/BGsmWW1901le+VRHfnVFc6zK/5q+kjUvFQzAVWeJ3/5P1vqIa6b/WyD03gSh4rnyzIbkzpdztcPpCsGI8o6AYyLtQbj3eS3/1i855oipwWr45G0jJ+c53LMnjjKrrc/rBEGvAXwgsqk7Uitb2/f/DWbwP/ZUvOpToS5fPR+4Xdr/dEJ6UVF2P8QvB6rqXYKslX+QH/9E6QB/OgOSmFPWKrhVXv9YQ7WeUGxHjZ/0WyC/FHFVHrZQe5w0DPvhvy9hSdZ2UdFuJ52WKnT+0RIcFVc/n9EUB8qu67e+RWKI3Mbz2vz53fX/zl531oRnW4FloFDpssDOfjR8YOnsNRd8wflFUOLRjhg2FSQzw9l89BzH3RRvsjEM5hfMtOjWMXlX0HtSkVzymz4hiaflsq77FZArVqP/qEPPoUDqcVwgooo4ErBKdNhQjn2Lkk20I4swU8jE2IQRzh5/aVdnqsiV78v+bQl5uHYoUKxzXNKEhe2pIPjJSmJBZqYCLBJgSjoUzer717tkVmMUaVvi48LSmCTWLW/02ngwkZVeL9nQqg4Cu1uNFx4JB9FMnulUjsqdg2mBDzeJGl3xkcGapwTU0gSKatPHq9Xj9+w0mtyvak225C6px5NsBxeYGRc8IbcnCoucJMGW/ITwqLkHMu49rTC4sCgGGm1VdeLYTorYCyp4USygrmmNroHPQEJ6WUr55Pt5eLZSxdlJtIrMimC2uhnAlbOPJ9eVDeX7JoXwU599veGzwZ/Ix6kr0ycqKLG/ylEbd9Mi3ZMLR1VJu5wjGimT/smY13pdyZl220ru4hbNnMLtuGD/bodiQDu/lrTtGKDrl6PhyPH8mUKRg7kQml8iH7C8s+dCQ7o7ItkVL66XSp+pEBnB/4S5pugfvuhXoXqDyqiXyQbZlSK+MKDbk/k0OTSuTC08cnYNmBbNftq1X6hWvwfoi83JapFnpFc1ip0O+oVa6+GxbJHXRofSXizKl0dsNunSreGVXr97z9JYHT3kUQ5F4qVowrNaHeF/i6Xo94Og1ZHC3Z4PM8vqmtzzmV7vkW+31lVD1FVUHoiMY3m3O3F3aNnzLriSlTbCskJPxIL2imd1M5P1W7djSkf4SHyi6Dy9LxgbvtJI3Z7CeJ3Au21a/DhXpdUO52VLrllzd2OKfaqIjdeHakJ8rRBdXhwrrybfbRIrDj/kUI6GQeVmrR+6Itjs8uYwBvdje9z/Pb4mLQbwvK4j5TflY/IknJCUntf7WSGcxOSJ41+C0Idu8WIWiCCaG7mOpeZ5fF2ReOAnoPBanhGLYCvQTKXCQUmAFyr8U7+RDIvRO9kWEX2yKDjI49Vdkpmy7LR91UtAgByqyJJpfW+8J86fENsbkalXo0HQaghOPeF8RH1myHUUxFPF6dKxakpSmSnzmN9avb7GtpQqogmIkVUl1IgNNfNhS1RLIN0Rk709lkqtjDZvhSoy+bNmmQTcGXcsEkl4VsXgwVXQeW3QlutvFjnyQ/lwqkZwWNF+dXLi+LSllVk5WYMVIAEHeXJ6pP5eJJ9vSNDGtzrbdfXR9qs65eO5MY131oNko6W4sqCpDuZfQvWtQDRRbFjYLbGFQC4OqDfObl9GJTSBaZC91Utp73WI7UpUVnGi8vP0YI8fiqkOXre66r5gFUlhzvi1XuUs9a7Yj7AZ/LtS5un3fTsmqW7c2VXUC8xvilHC+5RuyFQpmUmKe3nA0/Rpv4pE8astjIyiHIrIPJlJJpixkIyOC/HNtetMTPWnhKAaK9KkGs1lQz33iu74UHHXEHYPAYk58okNNOJWBpBhcqCDblGIRZeUbnT9lcaMKlxuSu54UWThYXJHnauaG8EgLx9lTlL31eHUi2mnlIN8SYLe9lovNzqOQwbvyjPNNR71RowqNWWhAkQ81xUVoe6JoaoWXW7INTb4lBQm6kO8qPJXVb9WVSlVdgbKKYiBjSzFcfx+iIRbyYRNC1ZdVvmqk+tCfK7yFaa2rHNoqVKNpYkd6QyyUlk12cbJ4qBIxUsg3WyrgWIiIJm85vO0uwpsrbAjpTUd9Zb168WJ7/5Xukcxc+ZZsEYprEkxZn2Bu0Y1UWZW7inIgncssFMljeZirSqK2hSfy5+yG8DKzqzLI+QsBQTujYMPQxJB35Xd7OZgjh8ks2AuQ8D2p2prfhKpn6T41wXOK/K0B/TsOf2FJr8kH2FwpYe5hUrEPMYUFtT6o9d7TlD3Idy39Z8Z88sp9dsMp/+Xtl2F/QGevZH49otyteemFh5zmMaezBPX1HvGRFfj1udbZa6g6Ur89f8ryz33+m/iq4f/7zZ9h83VF517K+ANdps/C0598wHGaMP3hBr27srq/yNNN9iuayJBtGtJrip/5r/+Qjlfwq1/7BDvfrQj2U7Knesxv+Qx/Zp9ZFlF/fSAdqeVhnG/dxxVNoMk2DfmW4uVffIOtIOXXfvhRtn+giR+kZDc6pDc9tn/2MWnpM//eJjiNl9o10HX/PZn5i77A2J966oCnuye8drrL+JUeo7dqFluGcUexuz3h6f4JP9i/Rr4YEJ6oS4Nksie7jToWwbvZzfC0oypikn1HMBXnisVVhR1U4De4cYBbaIJTRbO7Hi88bfGIoUzCResrZgrBa5pKSaVS0A4woZDuZKXlLn3kvQcNTdAOKJuOjQ8dMVtE1Kddug8bgmnDyUsB+RVLsJmTjQKCxz6mVIRjS3OBCta/X1N2tbAoNhyf/hNvM69CXn3jJhtvNMT7BacvxRxfcXz02Yfc3xgysyP8qcYUzWrSWL3bBzU2FOZGHcOnPv0W1im+/fbTDN9RJAcl8+shB1vw/PN7VI3h4fevCgkucys2w+r67tayAu9omkiRXW9QjUaNfQbvwsarC8YvJlhPUW+AGpbUicHuB3iFI7sAMe/dL+W4LRHGyPyWHEkFU8Xw3YZ4Lye9HrFwRootQgCHCiE8VZfY1clRg2mPD3WtmT1l8KfCTRm9VaMrR7ZlKAaasi9/3+Typ6pZq0hL9gWh6owC5VEODJ2HUnwTjS1e2jC74a9A99ZTUsBRAE6hkz/GoKtr6XDLoMm7wcoOJtvSRKfy3/wpJI8V+aZ8PF4mD6TsrcczpcxYlZZKs+hAE0xd60HmYQqZlU0JnYdSpdVEgqMD2bKcb014RvV3/YrZYRfv1MOfKeY3FOGJlCajIbgXUPUc9UD4B07LrHm+jT9UCy5wK+e5jSPenmzztekz5I86JIkwfm0A/onH629dZ3hlxtXRlBPXwxl1qZT18WfFScDdXHBlY8rjfMB3Ht5k8KpHHckRAQr6t+E9fYP4+YlU09WCbLxocfLgFwJ0pSiulwS9klkd8tX3nmPjFUXZ9wiOZQu58brlWO+iPjRDB0v7H33JguX+L/hSYn2lxutUnOYJ3713k+6bAcXAEu1rlHWM3rDsmyv4H55SJw6vWFLDzuIdfLbBzAzOt9jQcueH17hXXgctRUHLUuPdbzmyd3f52k9tEWzkBBPpWxfLRBdXlzsOOQ/0f9gRDKFqz05Li5cp+u86Bm97zJ4KKIfCd3Ae2AsA/SZqS44jYWgM3hJbFqek3DuY2xY5CuGsId2RoxaB7CsxAz3XJk+LXU8xEuLU5HtbJI+E11HHGj+1qAa6dzzMG128dqXsz+R4o+qu3+/epw26URSbDS6yfOv7LxA9MoyOxYrHn4tbRP/VgHfffZZy6ORap3L2X1341h593sMUimKjwXmOb775LP6+T/9AkW84wolB17D1PcX+/ZvMnq8JytZtxVfCkTjXjj/kr3ayVQLDH3roWlbsZR+yK8L+7d+1DN81zG74pE81hC1D+SK6c34jwMvd6khy+3sOr7AstgzzKwbVCN2vs98werMmvRowe1rQoOjW7PX8+/WVDLpaJunrXynwxzmnH+5z9BFPLKt8YRPvfmNKvpMwv+GJddOWI+ycDZR1bOQYz0kp+/Z3UrxpzvijI6a3DGAo+7Iw2P5eivUN02cirCcwHj/4Y7AX6lhGcV2Dnkv5oQ1gadLmzy1qU6+2WLqUGvP4tMbkDj+9CFiR1atysoKtOhLflDJQx8cNxdBvuZVyJuPPxcPLyxt0sY5OnL9YoXIZuNTCw/my1ULJWVxyJLYxQgdymExhcoOXOUzeYC6c6f70x95hXoVktc9pkRB5lVDg+zXlXFP0DWVfzje9XsUsjUgXIf2FoBS9dD3ec5+8h2vrH0+yBOsUdWXQXTnfDU9DoY7V8tzytwckB4pOO9N6i/WV6eZPHWCUGBYfTzureFWiYEsTnYQ0ocaUlvhAk9se3QeOzsOMJvLw0/V4vQ+doJSjbgzzeUTReDSNFp+roabpLCHklmTfY6H6dA8UvfuZHAHF68cLTVe2qf5CgDtNz6L6JYUXstgycn7Yvp/eOx75VofBezLYLTnD5+MtEz/BpD0DblehqgG3R/vRyvFT55EYIobj5Rn3BWxnzcrgNJi3FDq/NThUUqIu1ydbymgsKExv0bDY8Sn769fnvLbKdC7GhgIvcjIRWfAXunUxkN8bH8og2X1YUvY9/Km5FK8xDn+iUae6zUNIoszksiIUA1MHVhGdyDfYu1tQdzyKwYUFSdTCpSqFmWiqvrAkqo48rzrWcn9AeArmFQ8vcwxv5wLaD9afnynFXcQsWjgNbal8R15oHanVkUUdiY+e9Q3dR/LDRX/92/UXDtU4/HlbYmtk11x1l9v2s4SjDTTJYY31PeLjBuuLXc751nmYI8Ati15U2G5AE/uU7Y7ZFI5g1h5D9EOigwWQkBwoJpXHLDkDHCf3Z9A4lLWELQ/bRkJp05XECE8liZ1vR8SPBVCvrMMZj+O9CzPghfa+g273gVtZ8jjNqjZ/eSAPsspcXBEYsj+D7u2G8KgkuxJeOgfrPHIrvzVUG0/LOZp4bwljNdsREpPJHZ39Bj+tyTeCM+ZD2+J7/gpwYT3Ed0oBVmYop2Xgzncs/lRQhJ1HjnBiybf8S6uNb7757GrQxkHQLTHGwtyTo5bGYkpFuWlx04DwwBAdKqKThmJgVijJZXvz9lVwSkwYp5pXXzI0dXsemTnKvqHuyMzceeiIXrWE4wpvXJBfSy4lW/be2xRlwEITH2je/OkGV+lV4q/s+5Q9gbp0Hzds/bDEmxXoSUrz9Oal5MP4zhAMmFQTHysefMxhS0MwEWBKth20CTFHcmDZeL3CZDXe0Zzy+mDNQbX/hreCv/ipY7GrKHyFmwS4xJLe9LDGoSvhzY7eqlFvOMLjgvGLnUtOxf07dtVHvMKRbYpHlinlrG5+zVC2O5XBbUv3XoUpGpynmN6K1qDUID5oAgiSxKDT8tGqlrNR9DWLq4Ia7L9nSfYLzLwEC+kV/9L19e62g0XLnM43Wv+uQhYgi23N4qpsd/u3oXe/wp9VmGlBtj289C66d1n5fzkl34CcBTuyHcU0MKvVbO+uo7NXYbIG/2BG+cLGj4nXumgX4M+dGK3WwpnOt2DyjLdKgHcfNYzeKlCNxRzNqF7c4mLr36lXrIUm0CsuiZcq8l0rKgrAn2viQzGI7BxYosdz0mf6l5PCd4S96YyWHUjHowll55teU0Lha2FS/bsWf1KyeZyDc0yf615KzHlvPxLgfeALO9g3KC12ROORHIng5Iw7OTD4xw3xwxlNJ2T8nLf2/NTdR+B5wiPuxKDkKCGYW+bX5TtvQoc/09gHCpQiOsppIo8m8P+x7IX3P16oRPahG5mZ3KEkfcQnjNaeXBifyWGDKRyd9yaoRY7zN9FPrz8ZL7ctmEVISvGRzIplXwbzYuTRBBCOoXdfMqidd8fgHI3f5+KhaXi8pGO1A3clVLCqz4pwhILwWNN/T3734I0JKq/Inhldgo6H9wP8uXREL3Po0hcX2EQsYnTlCE818YEhPLU4A6PXZ+hxSnFrxGJnPRu0+U2fYOoIpg2mqCm+06ffgDONzPDOUUc+4cwSHRQy8+9PIMsJIo9OvP6lX/mqxl9YooMMkxakr/fZaEDXtQw4SuGHimBcE0xKdFqgpimuKPGmXWJ/Pd72tzVebkn2crxZweLVLk2ocFquTzcO1TOEpxLfzHL06RyqCq8XEZ/7kHoPG6yRVXH8MMXGHuMXEua3NMmewFXqRAwETe4wpSV6OIOipNP1qTrr+8+lkSSAWdRERx7l0CPd0XQfyCrJlJLISg5qdGXxDqagFElkmJ+sxwtOC6F7+WKt46Vee4RjiE/k2uuxxl9A57EMtnpRgpX4i6vrfaWzV2Iy2Uba0NDZN6jGUYy8Vb+uujKI9O5XeGmNd7pAFRXhuCE8WX8Xg/dkUNalKBuqofSlYmCIJrIjXDSyq4wPa/xxgZnlYAW2Hx+vx9t4vZQjmFmJXpT0HvSoY0PZ18QtO7bsiZ9eMGswaYmaZ6jG4mUNyYWMvrdoRNniwEvFYmf+dIfJs4bha+1k2BXFSXwsMCIxIKjwZw3BbP3b1YsWQehp1KLANxqz26MYhPJ+rYB/wol4qKEV+nSOaizhZkR8cMEwoK5XbhYYg7IW52uyLXkuzshuN95X5JsG5XoEJzm6rOk+tNSdc9fneeJqEYfYXiRA/sQn2xC+uG0XobqU95zeSAhPK1Rt5Xke/zEg5osdWUUlRw11qMlHshJI9izBXBJfyaGlezdjcS0Sacp2B9XIKm3rlXW2Yz7ShBNHdFKTb3htdl8kSP5cZCC9+9C9n5FvR7LlGMQrGdPma+vxbCjHHt1HNYsdj6yVrPTuihzFKejed/Tfyyi2AhpfUW4mKCcrkI031s9evIVsA3v3S4qhJ9Y/e/LS60hT9jRe6tj+3pz0ZkLRlwdutsSZYfuH6wfo3Qc1/qLGP0xp+pKZ0I3g54oNH+sLia37zoRipyOSMjUAN5Bn+3Ddyrl3NxPfppM5BD7xY6GIS0Y5woaScY8ez6m2Euqujxcu/aa12J2cv75HJbq2+PtTXOATHeUijTGKYuhTBQLbDg5Syp0OTdjBb+NZX+OlZ89PjggUXgH5lUQYx40j2ZNMddmjdSa2zK95qMZQdYYC1Q41ycEFVN/QWw3iTagpBiLVW/roNZEQ13oPGtJdH/CJBsIZLvuGzdfW322xEcrOx8kAVvZFNmRKRxVrcVDuK/r3KtJrLSN3acaoYfOV9XhOi4zIpBVN1xdmcutEnI2MUOM8cS7ONzzctkfU91GNnPkO7q73Za81fdRpQT1KVu6+fmrJN8RwVFnoPqoohh5VNyGchDSBmAv4aXMpnlMKldfYTrg6vvFTSz5awvQd4WlNvulRdXsE4xjntUcPF5weyoEYhQanJfl2RDEwlD05Y61jOddVDuLjmnRXXIyrboc67NIESlQW5+PtyDbYnxaUN4dk2z512DrSxBLTaQjvNCy2Pdj2iIY+TimKgSY5XI9XfeRpqq4oQLJNj/TaGfK06p1B74OpKDtkbBMThLrTKpuWffmFG7hAU0eG2S1x77CBkNTqrqhvlHHoxwnzGyKj9NKWnT0SPO37tfcddG0ATa3ExSB1dPdk8O0+yKk7HukVn8aH7Gok5xsjzfy6ofO4oXt7TnZ9/XzB+qLHyzc8/Lll40QyotHegmoYMb8unX1xVUCtZVez2Ero7Dck92Zk1y+cL1jAiR2Kn1qiE0kCJA8XLG4kLHalo82eivAKKdZIr4Z0HzUkD3Oyq+sp2uhEdMTZlpg9+gt5scnDnNnTMfmmbNmmz3YwlTzg+U1D766md68gvba+ujKFRZWWph9hfYM3L3FG401z5jdGYt0MlNsdTN6QXg1Ir3j0HlQExxmTF9fPhnRlobbYXgJGyarIN+hpRvV0AkphSks9jFGlZXEjgi2fzsMcb5Iz/sho/foWNbqsaYYJztOoWu7XTEuqa6HIAAtHvRmjG8v0VoRufLoPC0xaMX3+7H04Iwms2XVxLA5SR9UeBzTRsugC5ldkcsyuNfhjTfeB6EJPPrDeFYvWi6rsyVmwKR1lIiuzsi/9yPq0xwwi4zO5QLh792vGL6yvhPINj7KvWl2vJHTrjsLP5DrrjmyX59c8QXx2YH5TEx15jN7ImDy/DiMWlKWm6vnYUNQ31lf404bpLU/OTg0sdgRgn17VzG5qug8d3Qclxx/+MaaoDuqNjiRyCos1ivC0YPJMd1VwUPYN3sIyfs4jvWro36sJT2tOXrocTzWOaitp5U+WxhiCac3kWXnWXusHpxtJDJrc0L9f488ajl5ej+eMvOP0ZtweSzi8XKHndgXQN7kwga0P4w+AyQ3JnhiSLuHxy1b1RUKYb3XBnSlLgrmlGIliQVl5H05Del2ha5H3JUcNk6fW+8vpB8WpuwlaTnKbxwlPFTZyqEGJXXgsron7RLEtxyXRnkfy2DF+yZ2LlYi7Rkc216KykEWcHVSMBgJEn12JUJWi3qjBOPTEIzpUpH8ciHnQ0uGVlbPbKpYESR0b2S7lHuFEqrKsJzKnYNauWo3CTy+uJF0rrpbBsYkM1iiCyMdkNarxiccNTajJBxqvcMQPGyku0Bp/enF14NozNVm9CDBcEcUe/rSGnYD4RM5786FYhsQndmU77i3WZ0unoUq0JPFaYLiuITz1CGZiLRONrXiRtd5Q8YETR9/mTLWxbLqyoBVl18eUlsb4ck5Z+StRfnJQ00SaOjF0H5btOZxc1yXIelHhfIMNPXRlsYGRwTLy8VMBkofHFU0okrzOgxy0WhVTXIxnsgobeTSxhy4aMdD0NM6XY4yqo9tCE9k69+/lK5H4xfNm1bh21SWDazGQM1jrtRVnQHQoR0Ei3zIt/Ft2ERfPJE3lWn6wkuOlUFa3dSxn807JkZf1pJ+aTEwNdSVn+z+W39qe19eRglgSaXUkZ8Ymk+QPiMLAy+S6lXXUHe9yPCsKjjoWxYgK5JqaSKxumkgRHrqVzrz74OydNqG+dCZp0oqm41PHHrq0YB0aOfP0Wt5yfCR28NY4Rm9XNJE+q8S7GG9eUvdCmshgClkF28bJ7mEuE018YldHfaO36hbYr7DB5etbaoFlYGzdeq2ol0xOC2qntbdy9N/lrPLQnLGdz/pLC9YPRfGxqrD0W0cZXxFMlr9HdqxOt+8vvNxfGl+tLIOWNUDL3+3NFGXsERxJ9lM55AhACy+5HLRJnLaVQ1m5W78dr2yr4TZAYZinkUDWbWvGOZMCLJtYqoFCxe9vwf6+7AXVyP+aSCpubCAPr+4asGcPQTdyxgZt1VrtyHfjVbXU6pc18rNVomWL2GaPm8igKytbNl9cFII2q2lDSWDlV5NL8VYPqS8gaUmUQNXxWq8l1WYcz9lDt9rS7Eq0Wtmt4vRUCzKX7Y14wokca1mhVPQVzqjW3YJ2dlXk2wFeth6vTgxV16PqGurIYANNE7aDZtm+7Lb8VjzoNDbUVD2PxY3Opaog5xts4FEn3mrAdb7G+bIyEhcBkeDVicGGIo2rewHZ9e6leE3sY0NDExqJo5cfnVgKlb0zQ8aqZ7CeJD2qxCPfjdfi1ZE6A8UHbRxfjoBUzcrvyxlZYUL7ISoxgrzoMrJ0r1VWSnCXk+sSjr3yD4vOpGvLncP8irmkEddtX17+XmtoS3elvy7zAnUkZ5PWyMoXB7Ob/gqkfRaQlXNHE6jVwCfl660nXJt4KkbSj2w7yM9uXV7r2NCjaX25bKDlCEwhJpGluGSbSqpD8w1F1ZWJsEo0s5vBJSC/Db3WsUHuZXnNsqOR4gFdtZWQW7r1O5MikdkN7xIUvexpUckoeWbOtI4QS1+4WI5WdCXXVy9B547VjvN8qxK9em5NcPaz1m+dXZKz/lL21dmE4EF67ccMW7pNQnpnq1NVg2v7mOnWZ6aSHXnfTSj2Pumt9Yq+JpAS7GV/c20lnjMOjKOTFKjA0vQaqs2apmNhVKKSmvpqgTKXKyLPtycQ8yftSXvSnrSfYHtCGXvSnrQn7Un7CbYng+6T9qQ9aU/aT7A9GXSftCftSXvSfoLtyaD7pD1pT9qT9hNs7ysZ++i/9kW3tCOGVtLRAlS2v5diZgU2CVhci3FarbLZS+B11dF84//zr6/EHR/917/olplAkLg2kKzj1a9O0POCZhBTbEaiEGilM1I0IKLnb/8/zkDNL/+rAkJewtOdUqts+ZU/mKKnGc1Gh2IjBAf+vBb5USISoHLg8Qf/+dn1/ew//7ecsmdW1MCK3tR/a4oez3FRiO1L6lwVFShF0wnQRU0T+/zWV/7qKt4/9TN/o31+bqVjsYEnHM4Hx7h0AUajeqJVpKpBa1wUoKoaF/h8+Y2/uYr3ix/+X7YaPgWNaGNcIFoctX8MRSESsUj0x64RyZry/bZix+NL9/63q3h/6hP/q9WNqqYRspLflsc+PJS/Y/QqHnUtvzvw5fcHPl965z9UAB/5N77omlCkhcq2mWTTvtuvLzCznHoQk28FK77xUq0iBQOKb/0/z97FB//tL7p8u8ElreiyUeBZzNjj2u9b4kcZ2bWY2Q1vpRu1njpDRGp49W+egaQ/8ktfdItrliZppVtW4TyHNzFc/92a5J1j8mc2mF1fQrhbi/W4RUa6daj3B//6F12x3ZYCq/bj0OCfara/b+nenlNux5y+KNpzfy5Kgaorqg5n4JX/8Cze5//Z/8A1oZQoi6zJrZQ8yXtj1OkUwoBmqy+3l9dgLTYJQIni5Dd//6+t4v3pl/+6w0iJKlYKcpzfQnweH0lfURrVaWUCTSt/CAOoG/A9vvTu31rF++S/+MtuZeFeC6e2aclhG69M0bMcF/jUIymw0KU8G2E+i5Lnq//g31h7v6pmRdLTNTSBVBnufluq82ygmd0IV/xq2pJtPxVG7vf+j2djwQv//i87VSuqvsV58rMucOhMs/EjRXLYUMea6VNaFBet2qSOHMlj0Zgv38cH/h0BwDeBFFEJ8F4A+qM3HL37BdlWwOmLpn0WLYq0xaLCOpD/YnvfQddfCFPVy0WGJBU9UtJZDkMYhivwhGqcSJ6M1CgH4wpTrIv94kOLl7s1aYjoLS3lZowaRhQjGRB1g+hNESh5cLwgGK8LtrsPz2DLTSCAdaHqW6pBCP2QciC3qKwj3wrQtSMYV/gnC4LJerzouEY3FnVOChUo0LXFBR7N9oCm0woOLbj2n71JgU5zVLGu2zGTDJoG1bSzjLUYraVTG43qd3G+J/Io56TDO4fKClxZour1eCorZGC2bTznUMu/azQkMZizZ65C0XC5vICykkHzXNNpLr/D2tUgvoq3rGP3RB4oLzCSj7gocUWBOhdvcLtBWXcmXVJnk2859NEdj2LogXMtGU4wgcHMEh+IS8D5tv39tsTWMysodBNKpVMdaabPdcg3RCMbncj15SOhZCVHlvwCX3b7BwX8gJXUCSVyK1NKJeTixU3SHanBj0/sqrIsOrEC7R+s9+Wd71craH4TyHVUiSZIpVJz9nyXbEuq3ryFa6FLQsJKDuwl/m38YCb8W+dWnAJnDKpqZCLeHNJ0gpXuuukEOKMxWYUqSvnqz7/b+UL62Xl10vLdeh747btd/vdA4EYqK3BFAdX6/XYfV6Idbpx8H1oWOco5qkGETgLqRMhrWEc98LGBIjyu8E4z/HA93sZrjWhgXTtZ+iJPVI0l3fVQOwLxWaIIioEUy3QeW5KDknC8/vyiAykJFymn8HtNIZS4cqCY3/Io+xblLF4qUrU6cYQnIlfU+dlz6t8W+ZufWZxqJYFGJpp8qDj4eEyxKZOoKZf6bAhOhZP9x4KYFwPRxdWF6GCLEZQblmCs6d5zRGNL2VWUAxEmBzOpRxbHh8towsWublkEcvHZrqDsglOP/m2hjOUDvaLO+6mAYerIx/odyv76i5s8Y8RVYuLIWxBysdEQHvl0HziiU0u6KxBiGwiA2E/dSs9ZbKx/6IsrvlQsFZayK1CPqqcIxo7ksMGf1+SbvlD4lUwuXmpRLgBPU/XWO3690UHXUkXW9AOpqe96BNMKb1Kg0hzbjWUgNwozL+UjA5TRAts411wnlkHXOVwcrAolzKKSuvm8xEUBhAHOKFRRo6oaFchqCH/9fpthgi5qaBxNTyagJpHSVzPJ0bMUl0TYKMCFBp3XqKpBAUop+V1tm94SetvSxaHqKrIdoUT17ghbuBiII0KdtIUHDfgLAaxfBLYvtkRrGx/XKKeYXzEsrspg2b1/BlN3RnB6Jm/F+KmUJF+EhJcDEcbHe1IKPb8VM78uFYbDdxt05VYgpnwkAH1nwJvJYuMiFvP4JR9dQ/eRpUoU+aYmvWHxZ5rufbEByrZFh12MFOGpXF84bgeRjfV46bN9dOHwZxVVz6eJNdlIE86cwHfSimI7oo5lIA+mDaa0mEx2W/VgfQFhBx1UWUNjsZ0I52uaxMcsKswkQxUlLgxwkS8r4Fz6Cr4ndQfhel9Or0iJtWpkXEBBMRRNcnzo6D4sqXqGoqepEymQMKXDWxhUHVJdoIzNbrS0vwIWV8TJo9xo0KUiOpDBawlgL0bSr3QB2bamCUOByJ9rqqXS6VpRJZBvtjutWhEey7iUPNYrqpxT8o6KLUt2w6I7Z0Jx3bQ427bkuBgoio2WeDeVSd4UAu6yocQ2hcD7iw2orxe8X3vfQbd3X0hPRV8+oBd+7g7P9w75ldc+ink7JBjX1KHP/BYMP3lIWRtmb2zQfweCWUO+ccEO50hmgfSKgJ/54IydbsbJD7Zb1q7FVIZSQ/Z0SVZrwgOD/47Cn9cUo/V44amj7igmzymy6zWf+PBtdqI5v/7Vj2NuLyu75COPP37CdBrj3Y3wXlPoosb6F6AoM1mBTHc95rcsNz/2iKvJlO/+1gfp7Dkp490JyLcU2ScW1HOfwY98hu9KBdBy5bNsZlHSJAHlVsTkWZ/ZZxd0khnm14fsflUGSbvVY3EtYu9nITiN2f3DivjBTFYc3oUj97KCwKfuR6Q3Ih79vMMMSza/PGDrqymuqiCJKHa7PPpciJfB1d9P8fcnsnK+UEVm5gXON9SjmOnTEQefaQg3M6Kv9rj22xnUDc4Y8qsJjz/jtX5dFcndCWqRAWfPb/hujfOkdDvb1uhPj/nkzmO+9+gG3O5iCosuDfUWlB9doOOS9F6f6FQR79WoC+92cKdA1Q7nSXFKE8vAqhtFMFuu9MGfOlSiVsUIXu6IThvm1y8A7x8sVoUe1pdJs/tIKgn9tKHqGmyg6DxuxPUhVqic1obJAReA9/dlsM02ZfGQ3yqh0Hh7gh+sYiV9XC89wDyx7ikd/rxZUc5WffmopO54LK5FTJ7V+D97wjDJOPid6/RuV+isogk6TJ42pC/nmMchmz9yDOcVKl1nagCoRSF9ZZgwvxXz+Oct/jCn/1tddn5nDnkBSUR+tcujz3p4C8W1r2f4ezNUXlyqOEz2K+qOIR9q5rdg+5P7fHbrPr/y3Y/Te2DwT3PKYVequT4zQ2tL9WYff2EITotL1ZD9e2LhU3ZlBWtfTNkZpOzvD4hfCRjezkmvhpR9jb2e48KabBGgTnw2f6AuFatEx5YgtTS+wmlNudUIYnOqSQ4dak8qHxe7inxLWAz+qcZtlJAZvOBsV9l5VKKck2KV2KdOFP5MJszOXkMwqxg/G4ES27Fl9Z5qwKsVQe+PMeg+/tM15BozqOh0cm51TvnR6TXMfQH26rLBKzx6dxQHG5s89YE9TgfiPWYDdWmle/yx9lxzUBH1CzZ6KSezDsFEylG8VHzGwlPIjn3cjZwCUG9qgXB3LsT7RAO+Y/f6KT+7scfHe/f59vQpwhONaizBpEJXHsEUZvOY568d8g7bNG9H2MBQdtY/zL2faf3Unpnx6esP+PzoLb5y+iLxQYvtWwjQxp85ZpnHs8/uc3d6jf49hQ2l8mzt+X1+hNMwe9aS3Jzwyx/9e/wXR5/krekA2i2kDcXnzCaW7Q/tMz69SrRvwPdokvVJ4eALuwDMnoFyt+KvffZX+fXjD/N4/nx7dufAM5i8pu4EdD99zPTxBhsnqVCTgvXVxt4XNsHB/CmorxX8tU//Q74zf5pv/tZPYQMPo5SwHUpL1bfc+tlHHKQ3ifZ8jDFy/LC8188ZzEJRbDV42yk/c+UB1ml6Sc74+S7K+ZQDhbeA7DTkk8++yyv+VfjWBhipODrfsu0AP21W1jHB2OFrGL/kmD8r3GQVV4S3QzbesCx2NMWQ1VHYRdcNWc1VOKOpuz7xQYWuLPufjtm/oml6Dcn2hNPvD7j+uxlV3yMfSrm78/QlZ4ZldVbZVxTbDVSK8NBQDh1HLxuqjuO5jzxgFC749qvPUncdqvU3AyiH66PQ3s8koGD+bM2Vpw/591/8e/zd00/wO+V1qn6IrxRVIoPNcJjy/LN3+dHiA/Rva7Rn1ilZwMGf3JVqumegvFLxb3/2H/Abxx/mvfQD8t6MaSsZG+qOYftT+4z3d9k+Wsjxw4W+8vALvpxJ3yh54eY+/91rf8i9chNVSKVa0/EFbHPimM5C/tsf/w6/5j6M+26nLede/9aOPyznoWXfUW3UMA7ZH4eoSpFeVyRHPnWk6Dx26CZm/mLJ9tUJJ8eb2EAgNudbnSiU1VQdOQ7Y+L4mOrVkmzC7pQlPZGfUfWjZ/mHN5Blfqk97AWpQMeotVrHKoYfJLK7dEW//oCI8ylncSJhfMwJv35DjjN1v5zShJr3qC1dmS7HVTXm/9r6D7k9/4DYaR954HCx6bPgptnVlrToaG4gxoykc3lRz5+424Z5PZ7/C5BZ/th7+yocOyFtwuG8soyjjaNJFt+W0KNnGeQvhdBZHIX6mCOZNO8CvP+g/99nfZ1pHdL0CXzUMTMr+QhIN+Yam+0DIUd7C4fZD3mUbdyr2Icq6S6WO/61/+mtUzjDwMhqn2fDmPF70hW+6ZQgPfYqe1IoHez632SE+1avadt2sX99n/offpXGKTT9lv+hz3RtzZ7qJqaDuRwSTlCYyBOOazu2Q+3qL7elZSbW6UC34/L/4JhrHRrDg9nyTD4aP+E/nn8ErHfVWD2+R0SQBZlowfCPhOB5xY24lSbI8zzvXPvZnX6Fxir5XsJf3+HD4kL9/8HExUuwHmAOHCw3BcU7/7QHv9ncYpQ61TLo0Zw/w2U/fo7KGovZwwI1ozLhOmGch4bGif6cg2/aFiLat+cHBNSaThJvjBpNWBLP1CcYaqDpS6moKSbRVicKfK4avKzoHDcXApxgIAlDVDj9VhKc1/qQgmF4448wFDI+1+NOSqutTdzyCqWPjjRpdWKZP9WliKDZ9McHMHWYmuwE/XR/F0xsC7bcBeBNNkyi8hcJkgrnEwR13g9vXcvBc65whbGJvXmHy9ev7mf/OD8gan40gpXaGns55dXyVcCLnwXpRomyH5LHj6M6QVysPf46UstfNWh4C4Pk/9yYAAz/j7nyDF4I9/tP5Z8UCaRDjn05xnsY/yRi+EfIw2uLazK6Or86/W4D//j/zFfIWoFBbzU3/mLfyK2DFMku1rNr4uCF45PObmx8gO0zk+K1q8LL1/ER2vUZVClUrVClJTXyH046qp9GlJZjJYqfsGYLHPod2yOCuJhw3FJP1Scafy3PyF8LgzocyNhUjcekIxkIRBMk19B7UVB2DP1fMngo4UP1VrPC4EuSAdYSHFht7MllHZ/zvYCaJzmLkkzzOBPhkFLo23N8f8X7tfQfd7967ifEsReajDwK+7ZeUjUHXckZaDj0xLQwgPoTNH3nExyXBaUGxGV2CXDzeH+JqDVay0fOWP+varGix4VP2WpfTY/FAi48t/qyh6vnil3WuffPkaeZlSOMUWenzid0HEk8jgI5NnzqWA//ufQX3Y+IDSzBtKAfBpdXQHxw9Q9UY0iIgXYR84dkRVSPZ12BuaWI5x3Na0bsN+i2f5KjCn5Y0kXdW4962t6fb4ku1uMXp4z4vfmafxkmduVmUOF/gJso5tn5Usf0DiPYmqDTHhf6lLd792RBfW350cJXs3T6/sfFRqsZgjBwV4Hmo2qKsZePVORuvK2HMZrmsXC64M9+ZbRDohlcXCSf3h/x6/6OUjSAUVWnlXM9K0mT0dsXwHU20N0VPF+B7Z/xS4O2HO3hBIyKMacj3w5zryYSm0VTbjtnNgHKgVkZ++bc22XjkCA/nVANx0Djfuo8KmtBQJ5rGaHEr6EgW+fQjjuKhR51A3XViBFlC716DLhrynZjqApBOPzhExRF22BWoTOOoQwGlHL7sE546ig1xQvDnwp6Ij2rQkF9LLtnXhCfSx5oY6g4rh1xlJdcg9jAWP6ipDkJUjazaasfiakTVWR8kb882AXjzZIfxNOHDnYdoJcagTaBXZ+4oGL2q0d/rM7iToxcVrhOtVmXLdnc6IjQNr6ZXyG73+c3Nj1BZjdGt8iEMVv1h47WMjdfA35+i5gvpKxf63lcOnsfTlkkecTLpwAegsD66lLPPfDugDmVrn+wp2Nvg6qElOpjRJIEc6ZxryX1vjXdQDRzVsMG07iazW7ISNZlMuv33wH/FEMwqOQq6AOTpv7fAhgZrNP6spI47OLU80hQ7o3wTTCHHU8mDOZFRhJsx2VZAVZ9dX/DeARiN82XFL7AoRzC1LHY9ihGtKwf07zr0vCSel9SjmNl1g60vHAteaO876Ibf7eAtYHO/IT4smH73BsVAMSiE62kKmdG9hdjpqNLiPz4F5wgZEk7WwyevR/gzyQJGpw5reu3H5hi9k2PSCl2J/CwYl2AUwb0TnGcorw9XNiHL9va3niI6bg0sF47v6A2cUvQWjuHbmYCZawFzxwclTaiJ7p6C1hTXB5eoYPu/d53o2BFNHEkN3+u9jClhcFIRP0xRZU0vMEJUOs2xoYe/N4GqRl8ZXer4e1++SXjiGN6v2Kga/s4f/pNEp5beuzPM6Uxe8Ekmz2uSykuezqGsUN0Oxr+QXPrVKwRTx5XbGd58ypd/+HmiSUP3jRPUZIZzDj1JoW4wx2OU1rgsw1U1qtu5CGbi8Leu489gcLtic1LwK9/5AqaC4e0M73AKZYU5TVGNJTmaypZ0MsWWFSqJ1wbd8K0Y6zuSffG1evyDp3njgw3OOEbv0RqZivyq80iA9t03TlBphrq6gdm8MEPblsbVfvymlNVuOWqIDsSlwvpu9e7jE5Fp4Wnq5jIVTHkezahH0w8EYFQ60l2PxXVxZ647Sras7d8Lp5boocRTtbvkVuxlQpVrUkkyK1+kinUiDipVF2xsKRcBg9tCCuvdEzPGKtGXgDwPv3aD+FBcHHY1/Mc/+q8Rjh39uzXRoXCTo9OmHUjkDNccSt9zg64Yt55r2Zd2aaaOK+/lmOmMX33lC4QzS+9tkT7SWPRkgaobgqMJKIWbz7HLvqLXB45H37yGlyq6Dx3XJg2/t/3T5JuKTg79ezXBrEKXYluV7EnyMXw8RU1T1PbwUkVAvO8wVXsGf1TRhJrpUx7ZrqLz0BEfW0wuahBTiN9c/M4RKi/JX7xCcgF6b05S9FI+WVYkj0yboPXxFi2JMJCkX51o8t2E8Dgn3E8Zve3hzuV3XFGCs6g4xkah5D4Cj2KgMXnrIedJYh4gv94lOBWnkc5+QPrwgiHchfa+g26y5whnDcmDBc7TdB6XhGOzoidlW7JdjB/MyK/3cJFBNQNUY2lCw+CdbC1edOhIjhuS+yl1P6SODMFMSbY8rXCexls0hPdOyJ/eFPlMFIAW1uvg9nrCYPAOdPZq4gcp1SiiCbX4OLUuB84Y/LSm88Yp5Y2RbP89A1qOBPq31yVU2z+oCY8LvIMpdpDQ9Y2sHGuLKuVsz+Q1/v1jmp2BkNHaFZ9OC6J0/QD92lfnmKMZnE5Q/R47Dz3JEC8lX8aI1nfvCPpdkW8ptZKO6dP5Wrwrv3siioLJFBVFbB2OJZZzoBTKGKhq7OkYvdT+Ko3yPahr3AXQ9dWvZfgnCzg6RQUBu3uT1SCnWq2mqhvs0Ql60Jctp1IrKZqan52DSXYYhu/klAMPf+7ovSt9xcuWmEzH4K2ZENRKh+1F0I/Jt6NLEO6jl2OCqSMaN8xuGGZPW2xSoxeSva8T8f8avCt0ujpUFDuiET19USzLz7fxZ2+1Dh7Cu509Y7FRgz8xrQWNHGmN3mxa/KJaaU7HzwWYC7mRsq+IxpbOXkkxipi9YGkiTXjantX7EBwaRm9qcJKQrjuy5Z1fM8R76/F2/7AmuT9HH45pdkaEJxG6sit1iY08vLQmuH+MHbbLeK1xSYTzNMHxYi3ela9OMOM57nSMimN2fkcm+dUR0/l32++d9ZWgHTCyC9/a25AcVsT3ZtTDCH9u6OwZkQXWjjqSs//w7gnV1aHgREMfe3UD6xtMuo6RU04WX733UuquT9UzeJkgHMWNWCD4nffmzJ/rivPIttj+NJGm93A9Xnl9sPJXbCJ5xssdb9UTupjsWB2LHc1iJyDY9fEy8ejr3j1bgLnr2y3RzzB7KiLf0Cs8ZTlwVCMx++zdNcxuGKzvYXIfUwqpsPPg/SFi77/SnYoFT74Tt0aJoq3z5hXFZkAdybI7v96j6hixs9j1SQ5qor2U2fPrEO7kuCE6lIy+SSuCvZkkOLISO+xQdX2ayKBujtCNJdsOyDc3SB7l+PtT6u31eJ3HDfHjFDyNP8kJp7JqVEVFszOg7snArncHeLOC7GqH4qUNkgcLvP0JzdZ6vGg/w4wXYAw6q1CnqXTGLMfujGi6Ic7X2EFXwOHXBpSDAeHhAj2eY0fr8czxHGapJCbyAuYLnLOil93dxoWe2MJ0Etwih2EPNodisZMX8u/nmj6diobS80SpsGgnNa1Qo6H8c92gohBXlKgkRnU7uCyDukYN+mvx/L2JDJxeOyhnGSgNWuH6XZmgqlqKI+oa1+tAHKLmC1zdQO/MzK/zyBFOG7IdSYD17pfEJzKg5UNDPlQEM3GVaELN7IYmverR2a8xmSW9tr7SXRpQ5hty7rr1fUW+KUDrfEuSL2ZmmD6zXEIp5jcD/KkkOtMbFxJzm4o68qhjj/jIkhwI/N5pRbYLxW6NmWvGz7cGmg3Mr8X4c5Eezm+uL9WsJ9rwxW5AfGiJjxR1KN/M6QcM+dUGVSrSa5LEqTqK+XVNeOpIDu3KRmbV9w5z1DzDxSE6Lwkf5CvNdnN1g7rno2qH7SaoeUaz1aMejPCPFuh5TrN5oe+dTKVPhaG8q3x2dmSwOZLJs323rihkdTsaSMFOXeM2hmvxug9LgklJM4hQjSM4WuC35pX5dkSdGLzMYgciQ0xvJSgbEh2WmLwW3fy5Fsws4aQh35IzvvigxOt5+POaxU5A1RFD3GojQleO8fMe+pZH93FDOK6Y3VyPN3kmXPnUqXqJ1HRERwrrOWxo0YXY95Q98U1UtSI+MHQfWE4+ctZfxi/1W9lra0nm5AhJwPcCRNfGkV6P0aXIzmxo8U8NnYcwf5r3be/vkVa6FcdSeLKS3Ve1weQWL1CEE/F00pUjmljxv2qB2Bf5rd68EUCyVqhG0wxEh6qR6i5TefjTslUCeATTRpIOC/FkMov12c1Pa5yRhJ4pwHbjVZJHZxUqCcQwLjRUw4jwtESXjXiHVfVKjbC630J8lmzoS5w4lEHMWlRRQzfEG+e40ODiDv7RAk8pEafXjegizzXVWBnQPAONlS1b0+CURpUVLg5Qi0wq0AIfskL+V9eyOrqI3Wya1aBIIytR+UVKtplxiMpyqUADXFlJnMbK37vQVCVVagBYi/I8iaW1xPPblXkUrgYAnMOdK85YtnDWUHb1qnJInBUkw++nlioxBDO7WhmFE4sp2yKZWl3i6epKYNL+TBipVdjydx14c0U1UASnAjRf6iVNKqsamyucvrzayLYV4alrfeCEVYuVBEsBBKeaYCbx6lgkQsVInfF3zzUvkwTekqu8rFySfgl5G89p0bOaQiSOKFZc2LX7zSrRV7cFB6uqQ6/dDdkAf1biYh8XeehFiZ4jiS9Y6btXrW5kMtYaZ6UYZ9l3VFnhkgjSarVrIW+X8tb92KSryZu2klOJdFLrlverMbkVuPyioe6HKCtHBmLw2iaFL7Cwo5OaOhaZXnhSSaWcddgWoO+0JMyqnkyMvftSxGJKKV7yLxoQKIRxrMA08i6k6lAcm52vCY8V1oimNjqQ78F6Ig883//Knhw31REtxJzVz5pCUaU+OtMrnnhwqrGBxK56Usn2fu19B13nyYDrjKJZSpyMQMdN3rSdVxJDtoWDlz2NrjTNZoS+oDZoYoNtK9ucUaskkmp8ma19jS6UOBoErUto4mHmBbaXoC8ManVs2lJSvdr607S2M40V2+qilqMLX+M8RaMMempx3UTsfs5fXxKgGnES1YWC2oq0y4oCoImlEEHnNTYJsIEHRlYMrptc6qjOMygCGbzKSuJojVLLcmQfL82lqCH0UZ5pBzqDIlyBvM/elocy8lFceq1NI4P4fIGrKhl4tUJpHzwnlWoXzunkaMSdfRDLyrb2g7ehj0lllbySEGktY4tncOYsXh3qdnKWs1hdtwJzLdWFAiwX2xhxLFY0gVQ8FqPL0OwlQN8ZkWfpGintNDII4wmAWqXy32woAHJdyUp4SftfNl21K5XWrHQ5OSzLQfEsTeRQx6CVau3eFaoW8f7FfII4Cot4H9dao7cDqlPgEjmO8o+V2MdHcv/KwnyDy9B2v4XSG42qrJRlK4Wzkhy1oXwPZlbQ9EKc9qUiLQWnf4z1j2dkktdK3pfTZxNqY7Gxj5kifSUKAU+qJNtjpYt9b1kxqCuL9Q1Kt84lvux2l+YAurTUHU9MDjyNX1qqfrBS5CxbMfRWfcMZBSvA/NK1RRGdyjsvu1pK1LUopfLtYFX6f/ZC5Jkuix+W79wuz9q7Fn9ixILHk6OpOpZClWkCujq7XxvI+19OpktreefJ4K47Fa4Wd/LlMdeyvHyRwI+3LTlrTyDmT9qT9qQ9aT/B9oQy9qQ9aU/ak/YTbE8G3SftSXvSnrSfYHsy6D5pT9qT9qT9BNuTQfdJe9KetCftJ9jeV73wix/5q47GnjFhncOFgWS4j8dCvQL5d+dExuR5qDAU7Z/v86WH//tVKu9P/9S/5VRtz2q7rcXFUo6o909Ee6qUSJcA55z8s9/qXMOAL733y2fxPv7X3bKenrXrU+iDU1wpKWfl+zgntdTKM1J8kBfg+3zp7hdX8X7xpb/ilsBxtbq+UDK+BydQtSnspcyqlYSpwJf79Ty+9Og/Oov3wb/cEn7s2fNbluMen0rlC4hcrGlErrMEydS1PL9z8f7Mc7/kVnKeJSu15aBydCISsWWRxPL5GS3X217rl/f/41W8P/Xpf2eVRVVVI1nyVnupHx2uoOWr99FYuVbfE6lSGJxBzH/pi855IrdSTQt29uXP3W8XeIsK62nKkUiUdGmxvqbq6NZiXK8B6j/8lwVQ37QW2qqRkl/VwJVv1sT3Z1QbCeXQQ9WSVS9GHtmmprMvoJzzAP2P/NIX3VLW5dqlRtlv432rofPmMdVOj2IzQJcOL2/IN3zSXUPvkahmfv/vnkG4P/6v/LIr+2rFU3WeaIt1IYCUzo8eU93YJL0R4WUOf15jA81i28NUwp/++t/5pVW8l//VL7omAm8u1ygQbcEJDt8tie9NsFFAfi1BVwKHclpRbLYFAaHma//FL619a9CyGdo+7XwjuvCjU9wiWwHvXWPBNqCNSMiaRgD15761X/iFf98p56Bx6FrobDaQfubfOxKKnVIiL4R1IH/dYDsxv/7Df3ftfehaDAiWypQmEDbF1g8XmFRkadVGhK4tZiHvoBwEmLwh2w3Xnt8H/sYXnWpER+uUFF/UscMUio1XhJLmtGJ+zWuVNKKUqLrQu2tpAsV3/m/S/176q9KXRb0goBzbSs82Xmvo3k0ptmJOX/Bb23m59nIg6EcU/OB/918RYk5jRafZNPKRN41wOFsJ1XntHyDVLM7h8lwkTBfjte4IqqolnrWoRS6DpmodDpayFqVkwABclssAcAHCoZr3idfCmkU2cyZzwjqJ11wAPIPcX9X+nqbBWSuYu1UVT7BWk67CUAbm5f1evL6qls7XxlrpbFvtrPI8iaeUDIxLLW2rr730/OoGqursI1nGW/6+82QopQXlqBSUFa5pzkA1q+sTbbEqKvmdTSOQ9fZ9uOXza9+dCgN5hkUpH9m5eJuvlvI+9JmM0Hkip6oTgw20yAnbD63qGupICSBlXBBM14sjNn9U4S/qFd6xjtvJoLI0gSa70aPqGoGPFI3IAX1F95GI5+v4AnT8uzm6aNBljQ29tk5fYSqLNZr86RFlT6qYTC4TgjOK/v0aL22ok/V4u187xQUeqmqwsS/g7t6ZNKp8epti0xembNa0rhaa6KTBX9RUnfVPb/i2QFa8vBGtbm2FbdyCYupRQtU/Ky+tOx5NqDGZlMnaCyXoKs0v9WWtNc5anHUQhvJ9Lb8zz0iZdyX94OKI4Z9m0LhVRaVqLNroVotuUDpcA+i7jpSJqzTD5QX6ApB/89VS9P2NDJJLiaEpLDY0OD+Sd+4cTmmqnQjrK8KjEm+ck1z4OMITCCYOvy3tz0cKkyu8wlHFipMPBVQdRC6YyZ9NJKW8S0OF1bt4R/CeftpgjRLpbOviUfY0xx/tCQ/ZsdJpN5HosJMju5LP/VHtfQddm4SoRn6k6YToqpFChLRELQqpZopCXBzitIaiRDUWZUMZbC7g4VzggdZYFdF0fJktQ4M3L9GzXF5QHK4A3TpvB9PAF0H3hXg29lG+kXjdoNUzGrxZgZ4XZ/ESuT5dVO0KzRdt7QVQM6FoauXe5b/ZwMOkBXqeS2lke78ohSsrqerxPKiqS5BwFwUrOr/rRNA4XOxLccYix6WZVI8tS52Lst0B+Li6PivJXMYLfVSru3TtisJFPior286dy98Jg1WBA3UtDgT1uUKI5fMLPXQbt0l8dNnQxD6qtnjTHHUygTjCRYG8u7q1ugl8VOGvPb9sW1wddO3INjXWV+TbgIXOQ0f3UY31FPmGkOT8VFY4ZalRtU+2cwGwHmnQgtir+oZ8YKhjWTl39hopHS/EfSLfMHi5CObrSGG3Axbb6ydndWxQoSaYOOquTz7yKLtCjOs+Kmi0iN2lylI4uuG4pgk1xchjfm190M2u97ChIjosKQc+TaSZXzH4C0eyX6MrSzYyNCEEc018JCQwf16jrCPbWn8Xk2d8dOMIx55AnzxYXIPoKKB3vyGY1syue1RdqZBK9i3KOnyraNDMrq/Hc90YSvl+bCdCOUfdCeTbnWfSXzrxGdAlK2ViNeJschGgX2wnmEoKE6qej64sVc9gMkswKTFHM2wvwSY+TWgwWY1qLAZQWmN76/HGLwSYXEp+F1cEaJRvyco+PnT0HtRkm4Y6kf4SzGRXUkcRQc9nfmP9fpsAql7rCBEr8i35/3WliA+clHkvZEeibLsbq2Bx1TF7zmF7ZzUA1hfbJ1Moyr5UU+abCj89G9jtrP25SIDty2KefNOQ3bogwr7Q/jEVaTU29qkGIbObAUefsJjNguFvDtn+5om83DikuNITaHYOu9/OCR5OUHkBan3QUHmNi7xVvMOfboi2MpJ/1GPnGzVq7sD3KHY6PPp8gC4UV75ZED2ewyK/RLNXeY2LfcpRyPSWz/EnGoKNnN5v9Nn+5qmwG+KA/EqHx5/1MZniyrcKwkdTqfy6wEilqnGRTz2Imd8M2f+MQ28UbH55xOY3DmQF6HuUO10e/VyEKeDq16SkmB8DCV9OGPUgYn4z5uDT0IxqrvyjDhvf3Fs9v2qnx+PPJXgp7H5zhrc/Xvmdrd1v3eACH9uNya53ePxZQzVquPZbiuE3HsoPBT7N9oDHn+thcsfuH0zQh+PVcc/5tuRTNP2A+c2Yw08omt2CwTc77P5BjTEGFwVU2x0e/6x8NFs/qojvzlDT+dqk2nlc0USaom8oNhTlx1Jubp9y+91dNt4wxA9noHsUA4/5h0p00MBhyOhVTXJgLxVHRCdy9FIlHmVHM3kRmsjRvasJxiX+wYzi5pAm1Eye0QIzOXCEY4GEqwvOEf68xnmKYjNkse0xeUH+/9FrYrfkZyVVbxOUUMJMbujsNfhzi1c71IWStPC0oNgMmd2KmN/Uq9r+7g8swbjELEqOPxxiCsfsplTnCSSnEbh9sD4I9R7V5ANDek0z/UDNs8/vccsveO0PnmX4tsXkDcWGIr1hGT17wt7dEckDw+YrjmBW4syFbyMrcaFHM0qY3Yo4/CQ0w5qd343Z/AMpH3ediGK3w/4nA/wZbH9vQfBoLOXDFwbdYFzQRB7FKGDyjMfk5YrhzpTyGxtc/0rdLmIMiyshez+j0VXA6A0YvQ5mml4qROo+aqgScWZIb1rUTs6NrTF3b++Q7Bn8ScliO6HsK+Yv57hGQ6XoveWzfXB5UAtPHf5CijScB8VzuSAxDwP6d8C/J8Ckxa4iu9HgOg3+gU91pUTNPJR3doHdezko2ZlYz1AOZMCNThzxYY0/rym7kVTpBsLvtb6seP0F1IM/DsT8T27iNKQ3He5Gxl/9qS/z9cnzvJ5+RGbDui33bSzl0DJ86ZDTyQ47p6Gs5ML1j/zRP7kBCtLrFq7m/KWf+g2+PnmOt2cfkoqTWqp4vKyhjhGw8skOO8cexjO46EK8f2IDNMxvWszVBX/l4/+I3z35AHenL6La7bwzBlNaqq6j/4kjxidbbJ8EmEV+Kd7eP7GDU4r5LUdzreAvf+rL/O7JB7g/f7E9R5UyYV00VF1H56ePGR9ssjVurXIuTAoHn98FBbOnoLxW8Zd+9kv85vFL7P/Kc6ufWV5Dvuno/MyY8XjI5iSDvLi0sj/6uesAzG4p8qsN/7M/+et85fgFTr781GqAdi0sJ99yBB+aMDnpM5qkkJtLK/H9z2+hGrG7ya/V/PnPfIX3Flv84XdfxkYexvdk6wwUG47dl/c5bq5wfd87O3tevovPhegSii2LurrghSuHLKoAndTsf8qjCYbkI6FteUc+Wx89pR4a7OubWKMpu+uD5OxGiFc4ir7Q/p1xhEcaUzgefiEhHCdUXejftfTuWybPaOpYER/Jx1NdAN5nOwHKQbapSa8rIaI9Vni55dGfHOI0zJ9u6N4REHfVa7eUjVClynVsBflWRB0riqEivdlgFproUCqYTj6U0EQdys/NyKchyTsB9Tl0pTOaYrh+ffufasE71zP+zAdf5xeHP+TXTj/Gqxpmtzy8hUf6dMPo1imfvfoeDwanfM9/muHbUt1XjNav7/Az26BgfkuR3yj5S5/5Er97+gHu/PaLbc6goemGNKFmcaNm69aY08UmOycL1CLDXvg2Hv+cPID0uiV4espf+fBvcyff4u9/43NSPRr4NC0ys+nXfPxD7/F9/wX673kYo3EXPNIOP2ZAOYqtmqeeP6AbFHjKcjewZDsenf2AYtiWa9eamzeOudEd873HL8n7uIDabGKpNCxGQosL7kSEp5JjmDwLyb5UuSX7jv5dxfiFAOs7sArXqxmNzsDj5ShAl3ZVkbv5qoCw8p2Q+XUPU3pk28L93nhNyHHza4KibEK4Mprxfu19B90/9T/+OgADk/FetsUnorv8//b+BLp2VFd6BGlGNYgxi5renZi9zgbbSzjRspz0XPvFP/t1fNWQ6JI30l0+Fb/Hrx68jHJQXOkSzRdU/QiT13TvKfZ6m+ykSC261pdmy1/8c1/HYBl4GW+lu3w8usvfyT/RxusRLXLqYYguGrr3NIfJiJ0ljElfvr7P/I++i6cbRt6Ct9MdPhHd4W9nn0RZR7XbJ5gvqPsRZlHSfzfhOBlxdeHOymcvtI/+hVcA2PBT7i42+FT8Hv/v9KfxSruCjtfdEJPX9N5TjDs9unnr4OtdLsW8/hfeQSvHKMi4M9/gp5N3+LsPPo5XOOyoh5qnuCREpwX9d3oc93uM8vahXbCHAXjpz74OQGwqHi4G/Hz3Nd5K/6SUy/Z8/AeNlJrOS5KHMY+vDejlnJ2F27MXcuvz9ygaj9pqGqe4Gk851F38sKYMLeFEOn0wd3hzzd7eEO1ZduYOk9cE8/WP/OQjwmRwPngzSYp4qaJOFPmOJZhqmgiqWBi94emZFY6XNwQXAPrHH5UkUpM4vDnYQMo3rS8JkPAEXOAkGVYr/JkYspqiQdX6ErXs6GUPXUryzCzkSMKfi2lrqB1qYhmfRPj9kqrn46eqLWNWUuZ74Uzyv/FP/wGzOqLn5ez6U3bMjPvpCC+Vsthw2kCjmEw76GsO6zSq0u15pFs5UizbM3/+LaxTjIKMw7zLp+L3+M8ffAo/czT9CG+2wAYaf1bTuRdxnPTYLsFpvUrEnm9/6l/4AwrrEeqarAn4eHSX789vybZ64BE8VDShIZjURA8j3tjexSz7SntGfb595Bfe4ijropTjajLF0w3jMoFGUQ4cJhecYzBxqNxwkiYYbdGF5AQuUt/qRMq2rQfRkbxTZ4QKZgNH94EcJalGVqSdhw7rg5cG5NuWiXcGb/JncjzkFAzmNdZbchoETerljvhImBrZlkf/Tk401gRzRRVr9sfr8KGL7X0H3Tenu2hl2V/0eHRnixs/e0pW+1hP4R8tJPGSVajasvFawcYbiuBwiioqcbm9UOv/o/E1PG05SLsc3N7kmZ87Jq0CcRA+WoCVDxDn2HizZPM1R3A0Qy0KnGdWFjfL9urkKlo59uY9Du+OuPqZCVnlY40iOEqhse3ZkmPj9ZLN1yA8mMvW68fUl7893cZoy/68y+l7I577wiF57aG1wj+WmVAVDTSOjdcyNl8F7yRF5aWs/C4MvPfmIzxl+UF6jfHdIV8avExtNSrQQjMDdFajmoatH2VsvqYI9meS2PIux3uc9glNw9vH26TvDPiNrY9SW40OFGqeSeduz/E2Xp0zekPj70+Ezxv4l69vNiLxS8Z5zP6dDX5j46PkTWtBvpBVvXKA1gzu1vTvBcR7KXpetOff5yDmD3ZEGVBqVG5ontH0woLiKCY6MZQ9STBUHcnw+q+EBBNHeFpTd/1Ldjjde7SMDgHP2EAmXS91DN7SxMeCUqx6imTfEsxr/Kn0nR8Xr/NgyUYQ1KT1tcBzcsvwLfAKR74tKMqkBd0HY0n2VENziacbnshA52WKwqlVnb7zRHGhrEJnhrqOGN4HnACh6tjgtmPqCwD975/coHaaqjEMo4yBWeBpK8gES5sA0jS14u//8GN4hwEbb4OuLcVGSB2vj+IHix6+abg72eDowZDf2/wg1gkCcwl60oWgRLd+VMGPNPGDseQVAh93YeB9fXoFT1lO8oSHB0O2X55RNOKe7C3k2E1Zh1OK/nsOd7dPZ7/GmxWSVwnWh5o3j3YoSw9nFQdBl36SM4oyaCQBVmx4VD0xjwwPDOWsz/HhgOTE0cT6kgFB765twUSKYG6ZBEYYvAcyUTvjyDdl0Ozddwxul3K2vu1zlGiqrbP+Et49BpCjvH4MidynKcSTse6IZ6QzjsFthy4bOnfm5LsJRV/jLnA/Lrb3HXTf/vJzBBMY3Kl4flrya9/4An5qGbw5Ro1nuLrBHMtSOj4cC7loOhe504UkEMC9Lz9NMHX079S8cJrx5W9+Xjr9OzP0yQzqGj1OUXVDvD+Wlz9LJV4UXlqZ3vnSMyvQ83BW8o++8TmCuWXwzlhYtNZiTlKwluTxiVC4ZqkkqcIQfSHe3q/eIpg4hndKtmcLvvztzxPOGrpvnsDJBNc0mJMpWEdwdAq+j1ssBBKexHKkca4dfukG4aljdKdkK8v5B9/5eaJxQ/f1Y5jMcNatYOb+/okk1eYprmnADy6tOLIv7VLPHTvv5ngTgZgHM0v39SMYT0URMWnv+3QiUrl0IcqFIBDw+Ll29NWrmEKytc8fFvzadz+P9WB0VyzqsQK6xlq6p3ORip1MRG6UxMLpbVv3hxGqFpfe+KSh6myyf0tjti3hsSQuwrEjSC3BXEhjvTfHqEVOvTsgvODxNXy3QtUO5Rwmq0kOQppQsdgWhcFiWz686Njhtat5b5qjshJdJpcA+qM3MkxaYSOPJvGITg3BtKYY+lSJYrGjqWNHMpaB2PpiXqpa6FFwwR6mu9cQHldUXY+J8vFnjuRIkoV+5ih6Gi+V1VHvfkMdKzr3F9hA4NreOmqat9+4TvTYEEzgcAT/3s5ThEdGmNZTMVyMjhR2HDF4z2KNo3evQBc1dS8guHC/h79zTb7d9yoGec3/65VfJDy1DN+YifMH4I3lIvyHuYCWZq25aRCgy/VR7e2vPY0/U/TuWm6dNvzKV75AEypGD2rC/RSKUv50jo2DFBd5mL1TXLpA9buX+vLiTl8ocQuxvqmaPneuKkLfMXzHEh1XjKysSs27jmKgGb0yRs8yqqtDoqP1++08lHNY1VgxuC1j6kiRXhVO79JqJ96Xs/cm1kSPFgweT1FukyN3blataklK97o4FWPmbX6hI6jPOgbVqNZdXIA+4d6c6PEc6/cZ30t4v/a+g+7130vxjlPUZAaex/Yd1qRWymgoK+x4gu51xcG2JVa5spSM/rl27asp3jiTrLjnsfVAZhSWxweeoARXYOVKyVml0dIZTqfr8b6SykpzMgPfZ+uBWklk8EQpocoKe3wqvNBWx4oxomkdX4j3O2P0dCGQcN9n6/7Bmb53qXctK+xkiup0UFStnY0S2djF+/3tCeZ0hpvMUFHI9n0jaoLl9lwrKMpVPJcXEg/k56brZ0NXf/cEfTrHzWYQhmztHa+uD6XB03IuPpmiOgmuLOW/L5GS6bph3s53xXDP2x+DMewczM7OkdukHdbC0Qmq14OiwlmRjiml4BzE3EsdwdwxfDMl34pQywExlXNY60GQWrpvTZi/MBBpUBJg+xHlMLiE/lPtWaq3sGS7EdmmyMNMCYurkokOj2H4bs70qUhWhE1XpFaxwVwg3Ol28NRlzeJaxGJHYzZEbZDtqtWqaPv7Bek1v/X+S1ZZem+xFg5/1uAfzfEf15SDXbItTWY9/MxSdsQgMRjDxht1i2rU1B0fZ2RL2tlbn6D7bxqG71TED+fMXuiTHolFeZCKlKqOFMFEdljlMBAXWk9R+wF1bBi+uy7JuvbVBf7+FMYzVDfh6iN5l2op3fKMyASPx9BJhK7XWDmGcg41Xu97O9+xxHs5/sMTXBIR39dCRlvuroyRP/eOYGskK2bnUB0ZgPRsve/Fe5rOY8fwjTnlKKTqGfyFDIzRieBivYUleeuQxQtbdPYanNY0G12srxleMEio+j5VR7cKFs38ugHXyhMDRTWSHUP3sahAir5HlXTxU9E9b7x61l+aKyNRQhlFeisRJczys0zk6KKJHcO3nSgsIo9wY4ipHNmGYfQ679ved9D19yYCNVZKBoHWxgKQj1DLILeCZhuD6sSigy0r1IUMqL83gaLdijsnQG6QlzPot5xdi0oS0cgaDb2ODOZ5jup31uPtTwTkrQS/6LJz8eJIMHmNRSWxIOw8D9eJJV5RoJJ1Iy19NJHBUxtcXZ8VfwCMBu1Tb0SfW5XgxTK45e399tZnOHMyxc1TmTTKcsU+BQQo3spzVBiKWiGO5FoLYeqqcP356cOxDMzGQFFgWwG6MhrV7bZcXVmpLCV7KomhKHCNRcfr1xc/mKHn+Rk3N12gfSl+WDoSqKxExbHcQxhAFMjkVVZrsqJo7Ej2SooN4al2H+Qi03Iwfj6gGGmUs1TbCX7aMH3KJ93t0tmrQcFi58KqfstvEyOCfUwOG+pI4S8s02d9yoEjLhT5ZoCfWhbbmpOXfDqPLcGsWYNSAwKcbjW0Tkv23GlFMKk5+bD45UVHinzLJxxbsi3DyQclXjiuGX96/frq2BAEHq4TEh1VJHtyfKEqy+RnEooNhz9TZBuG3oOSOtaMnw+JTyzB1MqgcK6Fpw4/rWk6Af7cMprK4BgcZow/3CPbEiZvOQoIphWLnYDJ0yHxSUN4UjG/APX2D+ci6TR6BdAHBKI/GkgyrapRYdAC7yNUr9NqsKtLu6LOvVR2tUu3kywXDbdSuEEXm3iookEnMeQldqOH7caYSSorx2R95dx55Oi/l4kEtbSE72UiE12UlNsdyr6HKS22nxCeFEyf7bDY9Un2K8yipu6t5wBmNzyqnsIURnZINZQD6D6U8145y1cUQ4P1IdtVpDcM8b6mf7dm/JGzo7fZs11xlPbFpdpbQNUV9Um+DeVGg/Mds5seJodyCNNYE5wqug8tswvA+4vt/YsjnJMH63kyS0bhmci/riGORJvrt5bOy4Hqj4JwL+HMvieDTRyfVbJVNSQRZIWcP7Y6U5XLgLEcWC81I3blMvhHMpjXbUFHKGBw5ftSKVNWqGVxwfJ6Ll2fFq6tVRDq1SSzGmQWecu1bVffZSm/S6vL8ayTKh+j2xWnOYtnxc5E5YUMjirANWeFFn9kW57LGoNaFkYYvXofro23up9CVs9qWXRyrqnayln5MtmRxMLIVapd6Xoial+aGForA25j5bmfO57xMkvV87C+DGRNJAURykI4cWRbAryvY0Mda6IT2wKinehiZ+vPznqSdFpWtdVRC9B3ssKdP+WID2UVmF4RR4b4RM5Aq47Bm68PutYXac+Sp4uTlY8pNNGhYvLhmuQVMTwcv+ARHTl696Wooe4YvPRCtjxSlJuJFH4sk1mlw68sfupIb1l6dyTBNn4uIDmyUinnq1YHuh7PlI6q4wkM21MrYwB/rAnmlhRNfGSpOpqiH7aut7W47DonfOC1G24B+lq1lZjemQKnqrFxgE4FnK6WwPQyF5eJH9NUWcvORyvJYZwztqSsIPbP4Oi6nazbYqjVN36uhdNG+kioCcYVNvAkyWgMZlFjIk1wWlINxYYrOq3BOvxJgcrry9fXyPt0GrQ7Q9o6Lcm4OhLlQh1KIUR0DNgls1lcTZatShTWKFFEWEnkL6vSTCGJUy+VONaXXZe3kH5VJeqSIe/F9v4Qc9+T/mm0rIQwUoGitbycOJQKtUIcBaQMMMCVP/4g2S2TOcYIoFlLZ6WSlbRNQsziwjY9Cs+2RBfjhb5c33KlBjIwtIOGTQJMVshM71qId+Cf/ezF5nvyd40cS+DpVXWbs1aUAS0kXGosNco38iwuanSX8UA66vIerF1NXC4KxY0hz3HayM+FsewoltVk55sxq0ohVzfgqbPjjcZCFMjKv6jPBsUwbKVu3qV4zpf3gG2r39p7XzpR2MhDpwaV1SsTShcG8s4vOMbmI9N2fIfJZXBvQt1m1h1lXwoPwtO6HXQ0RV/JvKYhmK2/4zqSzltsKIIJsr1ToGuNnzqazYp8FJAcWqJjizOKxZYWvaTXujSca00gcp7FFXGjUE1rdpmIjK2zk5JtD+jfscSHti0ZNdhAPub46EI8X5I9+VCvvLdQFpfLv+vNkmIjJn67QTWKKlaoSAZ9Z8SV5XyzHlQdKYtWVu7XA2zsoStRVVSJortXUyWaKlHkQ49oLBBxk1+EemuRbLbnnMu+twTUu9AXyH6aySRtNC6M26Tw5ZWaTSTHoKyVPrdcQDknZb6hJxVqWSt19ATKrupmDXa/6i9DQ9C6iNhAzD+dUe392tYeXaMLGZzrSPqMl9YorTAXXF/QApJ35qy6TFe0RQ5Q9R31RNwdnCfPt+pKInQce/iLs+e3tGKyBlwgyTwZYKXSsu43qKb9vpZCnsCh68uT6Y9rTyDmT9qT9qQ9aT/B9oQy9qQ9aU/ak/YTbE8G3SftSXvSnrSfYHsy6D5pT9qT9qT9BNv7JtL+zPP/hltxXq1dWXqrKBINaRwJQWieiia0qlG+J4UR1qLiiC8f/J9WJ8u/+OK/6dSSA1s3ojKwTlQRk6ng5jwjgv6ylCIGT+K5Fi14Pt7a9dW1JJecRcWxxAt8kYktslU8jEGHoRQMRCFfPvxPfny88/cbx9jxRNCGxkCWY4vi8v1ejPfcLzmWiYfz17d8fr4n8rQ8P3t+xkghyI95fn/mmb/oVkmMpmkxfPJ77elYNJFK4bJc9LrLeIG/ktGdv74//fJfF0YqyO/LS0k6ep5orzeGokqZzqRooy16UXEkypJOsuIlf/pf+N845aQYQFeOcNIQnEpC0H88Jn9mk7Lv0bk3x5ymIpr3fSG2BT7ZjR6/96W/tLq2P/EXftk1oSTTdCWJqvioBgfhcU6T+CjnKIbCk13+riYSPW96NeDb/9kZn/en/ie/7GzQuhOXDj8V2/g61HQe5pi8xgaGYlMkb8FY+KtNKE7Ti21vLd7P/vN/ywn/tS0/Ti1eWlMOfKKjHHM0E6JeJ0JZi55lklAKfGzkke8kfOXX/s1VvI/9z7/obIBU3WWOaOwITyqayKAaRzApRXda1kLQW+S4JKIZiQxw9nSyxg/+3H/zP1wla0xu8acVZlbgIu/Mrt059CTFTeeC6gwCVLcDnqG6OuQ3f/+vreJ96s/9slsmjbxCri04zrGRh2os5UaEKRqCR1PRv2e5JHEHXQgDFk/3+cqvnLvf/8UXnapFZmdyiE/Pik2EhSssjcGbM8zRFHc6QfW62FEf5xuy6x2++g/O+MbP/81fdk3kUI1CN6ALhT8HL5UCkaor0CE/kxJjHFQ9Q5VIebAp7YqX/MF/64uu7roW3agwmZDP/NThFZbwuAIN6ZUQUzmi45Kq45GPDKaCoqf47v/lL/6RGbX3Vy9ohcK0WgwnH28g1s9kngw+LQ5OhaHwV5cglLJaY72u2pLXqrVIuZbxFp7oSQtauHIIjQyaUjRRrvE6L10fZ797Gc8VZasf1jIw+r5of/1A4uk/Ip52UCODbBtPed4ZdNxoGbg9T6qy/EB0uxfjeYYzxUfLUwh96bupEXkXyMB98fktZVkXn92yFLrRZ/erFSpdiD4aZKIy5iye77WytgvxPOGr0kq3nGdg1JeM90KKRFBa1BzdjkiAPE/uQ1drqMj5DS318E5wemVfUb3kg4Mr33AE+ylmEYoEqBtgFj2sp6kGAaa4zKvNdiXLXyfyYS4qOP6oh27gxm+HRPcn5Nf7ou+1EPSlUq0YKCnvvtD1sl3JPNOqJQDqRKNqhZ8GdG4vKDb7pFcMJocm0DgDiy0tNuEXPqHFjkjYdNVKirSh6vooC1s/DEge1zTbA/KdGF1avCTAeZp8K8CUlouw5GIINgB/BqUvz88+H+JlsPmjAu9oju3HZNc66CrBm1c4T1Ns+JfszUGUENZTeJkVklyssdeEjNV5d4oez2QC6HVQSYTOS1AK24txWuP89QeYbamVPKouoegH2OcDdAWbP5oT3x3jfEO91YXNDmYhCqR6EGKNpo7X41VdcEq1lXmO+VXD5BkP1cDGawWdBznOKOp+iA03MMMu1jcUWzGqtlTd9Xi6Bu9Ur94tDopNJ2DxuUf3QYnTkG/5VC1reQksCu5Yiv65/ufALKRgBi063+lzEEw0m682eJOMajMhHynp690I60E5UHipw/5xeLoi52qZrEt9bisPW+ru1FKGZMxZWWhZycq0Ki8HvRgvzyVeK32SoAJGV34gutaqFNeCZTHF8voaewYJrxsBe2dZK2mxKwi6DBxtBV2rXXXOoVi/PlW3sPa6PgOFL6/vx8Vb6mGX8eyF6yurFfx9FS9T5+KZVhrWxjv3/OTPC8/uHwcxXw6CS6i8f0bxd01zqepLVreVXGdbQQScaYpBZDHt71CePqvmq2tcdqab3vlOgW4cyjqs0cI58FtGbVcIVE2k0ZXAWurNiKqriY4r/OMFJl0XN179eo5yDuvJ4OE8RR0J4CXd9VnsbFIMNSYXvmkdCfM0PHH0HpaXBsnrX2lxhkphA00TaJpIZEFlT5N/YhNxgnCYyokka0MTzBydvfrsY27b7tcn8kyspekEOF/T+HoFssmf26HqGXFGaBxN4lEMPbzMEkyqS9e3+XqDahxeKvJD1TiaSCDlyjnqrS7lsC2tdxKv7BmBpC9E/3u+de/lKIeA6h3CQwl9VFEJfN73hOPcNhcF2ChAVQ06Ly4NupuvVe0uoS2OsmADjcmFNGiTgCYJQIOqZbCtEg9/XuOnBU14Id6r9QparqzEbSKNKSy6aLC+polaxxKjqUaxFKRMK/SiugQMCk+lYi+YWXQDRU9jqpaxHGomzwZUHZnIvUy4GVVXEY5Fu3v+fQzfsfJ3580akN8UlrJnmLw0JN+QyV3XTvp4Ir8/Pmmokj9GcYSLw1afKWDxpZ2LXhRStDBPpSBhuRqs6tXWnLKSleL5FviyClECFldVsx4vXUh1VhicxVsdR9SXeLAuCla60tX1hT46zUUvuFhcvr66gcC2lWAXIOFxC18nEA2tteIOkJWyncsyub6L8Tzvj7i+UH7GOSn8sBYbBT/++XnmbJD2mxUfYi3eEmJunVwrnEHMFzlukck9+a0eurEyOHrej4WYO9+0tis+dmeAqqxoc8taoPLTubyL5Q6ntUVSYSATwzn2Qr7l42UWXQmgu0oEs6esVB919iuqRFMMpETWTx3h1NGEBjYSitEFiHn7kerKUQw9si3N4qprCVGKzp6l8QVisrgq1Vr+zBHOLE2oyUfrK+eq44FDXBu6hvkVQ74tet3OQ0cwl4++GApo3Z9JUUc4bagTTba5/iGVmxFoRXCY4bQivRKKW0EhpabKistAlShM4RFNGoJJjbeQI5Jya/3djp8z6BKiE4HrVF3F4pojOFUMbktV3OQZn6qLQHkei/7Za10u0ivr9zt7KsLPHP60pup56Nqx2DL4mSPZL/EPF+TXu4JlNOBPG1Dgj2Wyq4br13f8IR8/dQRTR9lXqBqyHYWX+yR7lmS/Yn5dKvsaXxGNWx5GLouz5sJKd3rTw1QOL1Nk2xp/5si3FLpCClMelCx2/VafK0wPZxR1ovFTn+mtC0B+f4nz1NSRou7KzlWXmvhIytBN6dYcNnQB6XUlhLLNs9qAJhS9rSks+chQdRTZtvSJYCosDF0KHrQYKvy59Mt8U5Fte6TP/TEg5lRShdL0Q9LrEQef1NRbFVd+q8fo2wfgebg4pN7u8/hzHbwMdv5wjrc3PlshXoi3hHqn1yMOPtXG+80eo2/tg9ISb0fimRx2vzHDO5hIvAuD2lm8mMX1iP1PaerNiqu/2WP0rT05L71wfbvfnGEOxivPtUvxfI9mELO4FrP3aU29WXP1t/oSL9ereHufaa/vm1PM/lhWihcuT8DOPrYbkd5M2P+0pho2XPutLsM/3Gsni7N4/tyx/YdtvDyHKLocz/dwnYjsWpfHn/UoNxqu/7Zi8M2HssL1fZqdAXufGWBKx843xlLenOWXjhf0ogStaXohi/b9VtsVm99I2P5mg5opXBhQb/d4/LMJysH29wvCBxOYpeI317Zkr6QJNWXfML+uqD4259mdY9584zqD9zThwQJIyEea6UcqlG8J7gUM3vYYvl3gzPrDix/MZLvaDQCf9LqjiRydB5rhuxXx/SmLp/roxmP6jOAAVS2VREHR0ATr9xrtL7CBwG7Kria9KWd2vTvQv1cSHGfMnuvhlCbblfp63YCfyha9ucCDDU5zmm5AfiUh2/aYX5ePefO1mvAoQ+U1ZX8grNuBwmlD0oApLGZRUl94t4P3GoqeJt9SzJ5rGN4asxtU7L26g3nTYQpL3YHFrYZoN+XocYfwyBB+xxKOc5y+8PyOaurEkF4NmN1SZLcqgmGK/90u0ZHCRR7ZlrhUTJ93BGOPZN+x+aMKdTRFNesl8t1HlrKjWOxq5k9bopsznts65kdv3iTZN+hSGNjZjqL4YMZ47uNNDcHMI3g0xeTrZcXJkaXsKrJNzfyWxRmHt51jHyR4C2FllK0TxPQ5GdRs1LDxfUPyOF852ixbeCouFE2gaCKYv1iifIvZC+nsOeITKPqKqgfzHUfTsfhjQ504TK7gHBmsfzdf7YisaZ0rJjLgJoc1/qwm24xWRRjOSBGGM3I8FPxxIOYHP7fTgpChuFbxS5/5h3xz8gzvfvklAWS0iSmAbMcxeumY0/kmW9MclpUu5+N9QaDe85tQXK35pc/+Q752+jz3fu1FWb05QcThIN9y9F865nSyydasjed7F+JdObu+Nt5XT1/g4a+9sNrCE0gNf77t6H7glPF4yMY0k3LeC/GOPncFp1rw87WKv/i5L/O18XM8+PKFeEC27ei+dMp40sY7X367ind1FS+7XvMXf+4f8jvHL3L468+uSo5dFEo11VVL8vyEyWzAaJq1k8wFJuznlhBzTb5r+fO/8Nt8/eRZpr9x8wxi3q6Asx2H/+Ep09MBw+lCquMuvo/PboGDxVVFdq3mz3/ud3hjfoU3/uCl9vzYtNAbR7Hl2Hj5kONyh6vHAdrolbURwIOfj1AO8t2a4bUT/tlbbzCuYt6yN1hsa+KDiHzkEU4dqtR8/AN3eLO3Q3O3j/UN9YVKnqNPbqAbYfAWQzGADCYKb+GYPuVRJ0OykSYaW/q3NfObsnUM5u3K6sK52viDwjgt+4pipPBSYfBGY8tix6fqGtIrBm/h6N6X1RwIRUr8zdbCkV3tYANFPtCk1yR5E57KlnR5jpvuyk7CW8ig0YRSHeZ+zBnn4cfk38utmqef32c3mfHu6RbOwOy6oexqFtcswfaC3cGMSVBxGvdwP9A4JZPE+XbywUDOpK86+h845l95/uu8ne3ya3c+Rb7lY0NNel1TbDg2XjpmK0l540c3Gdz28ZS65DF3+gG5vvxaxQdeeMQ/s/sKCxvw3vYG6dUhuo5YXFWUQ8v17TEvf+AR78y2mH5X+mZ9Ycs9fk6veLcbL5xgHfTCkvuNJi0i/DRi+kxbVda1JNspH73ymFfvfBDna6oL0PsmlOqwYkORbzr0zCMYa6znGL8ggPlyAMEM+u8qZk8ZbODAOJquI9k8IxqVfV8g5loG/Y03a8KTkvSaQMxV7a12Vxtv1JjMMnnGl7NcBdc2Jrxfe99B9xP/8vcB2PRTbi+2+Gz8Dr+y97KUT271MOkC24swaUHvvQ5H/QFXSid+ZN56bT7AJ/4liTf0M96db/Ez8bv8l48/LvF2+niLjKa7jJdw0h9yNW+5AJ65VE74U//SDwHYCNJVvP/i4Z/AlJZ6u49ZZNhOiElLeu8lnHb7XCtcm9S6HO/Ff+l1tLJsBAvupSOBhD/6OKZwNFt99HzRxivo3044GbTx2uu7yDZ45l9+E+sUW2HKo8WAzyRv87fvfwIvtzSjHjrNsN0Ak1X0bieMOz36pVDBlOddur6tv3AXrRzP+zkP5kM+132TX3v0YfzyHMQ8DtDzgsG7cDTsslGcg5hfeB8v/otvAOsQ8x9Or8t51zAiPBwLoi8t6NzvsL87YGNJ71q6ErftC3/me5RWulPHlHw4fsC36udwgWX6nGL0trhDxCeW8NDw6uOrVLlHP3Oo2q4MBZdtcUWhnFoxEpx28hF4irILwbSdZLRsG+N9+bnoQJKJ0el61862pLzWeaBLWlWEo/EhvaqJD8UZVlnEmuVYzhqDcYH1zSW04zLpY/1zNf+l0NHKniE6bvmusfh7+XOHKRy6snJuWq/f742ffUhays5rEORciaa82exgFgJaCScNqtEUacDu9RlZ5UMtKzFdW/SFHe1n/wff5aRM6HkFG0HKzyVv84fTpwnGCl1ZghN5CP5EkeYBTw9OwEhGP/SEK3y+/ff+ud/lsOyhleVKMOVT8W1+L/0g6TSiX0J4UqFsSHikySqf2JRoJeelqHXjR4Cb/9RdTjIBk1/vTqitIat9nFXUiRDrdK3RlULFNZ6xBLqmjuRc/mK89HqbjzAOkymaxGJ91yZiHd17wlLQldj2BFPASXKw6jkW07Odhy7F7FM5R+++xXkat+RhlMhR1IEm31TMrxoGt62wQ5RA0g9n67uEi+19B92HiyGBrnnl5CqPbm/xD3svUzSeYO/GAjFXuUC4N1/L2XhDEe5PZau9VBGca3fnGwSm4QdH1zl4d5MvDV6mqD1sqDAnqSTLsgplrcR7XREczEXKtITgnGv30yGetvzo+CoH727y64OPUjVGIOGnqVzfMt4rOZuvgX8wbyHhl1kEjxd9fN3wxskuR7c3+I2hxCNUwpVFEhKqath4LWPjTSXxyurH3u9h1kUrx7unm5zeHfHbmy/ROIWKNHouFthivmnXIeZltUJTnm8HaZfIq7lzOmLx9pDf2v0wjdXoUK9DzK1l9Nqc4Vsa72Aq5+s/Bor+YD4k9iomRcTBu5v85uZHyBufOgIvbe3ca1GaDG5XDO5oor0pKm396s6tdL93eAOAvPJYLELSZwN0m6LXtSLblNWBbjTxvsOedOnPHNFxhY3MpZVp57FbJa+UhYWShIZqxIqoCTR14ujd1fTv1cRHYtOtpxnVld4ld9zk0K4Gx6VBJsgRQt2F1Fcsnq1Qb/v0HtQr9wCd11T94FIiLTq1LSwFqlxRt3YxdSwyJF175NsyACS3rRg4TtuMfje4dL939jblHxyUtcHTDZ6xNJGj6miaiazko27Jd+/foHmcMHpLYcqGfDuSweX8u10M0Tjy2ud+OuTD8Q0ZtLpyNuqM0LPqLuTv9PnOvR6j14UR0mx0KS+oA74zvoXGUTvNIzMgMQWN0xjf4jywoZhL1h3H8XGXX1l8BPd2l62Fpdzpkg8ufLunQ6rSQ2lHYzVVbdjqprhKE040dWiF2uaAccDMKb52+0PEJeSb7dn2+f5yX2GDFlK/kOvBQXiqUTWYytKEAjQPT2Bw2+LlYh46/iBo/2wUj++MhbcSB7iNWHbgyLWUfUUTaRZXoepaug/kPfbfy8i3Q7INg2/eB1jFP2bQfe/XnyGYwuB2xQvjgr/37V8gSB2D105hMoPGolvGbXAyEUrVbC7qhTC8ZOP84NefIpg4Bu9VvDDJ+Pvf/XnCmaW/jOcsejIH5/CPx6LfTReSLQ/8M6VE2x5++SmCsWNwp+KFacbf++4vEE4tvdeOBabu3OV4S0i4510ykjz48g2CmVzfaJrx97/384RTS/+1E2H51rXA1gH/ZCL64WW8wBdq2vl4v36DcOwYvFeyucj529//U0Sn7fWNZ2Ab9PFUtKyHJxIvy+TYxg/WIOEA5a9vY1PHzrsF/njCl175POHM0nvjBCZzSXKNZ0KdOgcxt0uI+YVB/Pj3rmJyGL5b8/xhzq9+7wsAbL6bC8avadATAVN3TlvW7ulEpHNRtDbozr61LYzbsWNwZHm1/xGyXUVHw+jNhuikJDr1VtlvG2jiu2PUPKO+voGfrt9r/71cCGSNRRUN/ds+5TBgsWPY/g5YTyAw4UQy/mZRYSaZTLS1w8/Wl0K9OxlmUeF8QxMaevfa7fzQY+c7lqKv8RY+4aR17K2tQL5bZc15IApA92GJNy6wkUe5EYCVJJ3TiuE74iI8eDvAaUf8OAetZAL0DE3UvUQFU48jwhPRlub9mB/2NlANJBNFciBb3eSRpjnssXFHBqT+7QU6q6lGkVCuzrUfvX0DM/YIj0VR8Te2bqJrReeRIhyL3Xt3r6HsaLZ+WFN1NN17KXpRYgPvkjrgtYdXaKYBwbFBl4ofRi9QbdXomSE8ceL6/FgA38O3AqokZOPNHO84oxlEl1ami/0O/tTgLEyrLtEx3LkxQkWW5LEkNvvvGJrI0buryLZCtn9Q4KUV5SDAW1yGygtv2YmueeZRdaAYiZys7MqkHR2KRtsaCI9Kum9nhLMhB/bcGbtnJDEdBzitRKGhBVrkz8XmR9WK5LEi2Rc9t5kXdNISXXa5d//CWc+F9r6D7o3fmWOO5wJC9gw7d5AZYCkZ02JD7mYzVLcjjgJLolFR4C5Ixm789kwcHcYCCd+528Zrdawo4c66yVTi5YXE00oG8sk6WPn6b01EaD9ZxlNn8UASaRfjWXdWrDCdr8f7nXPxgoCd+y38e7mNbnGO69fXzmrlOWTkMt5vTzDHM9xsjooidu/rM7mcE+KTK0v570ks8eqWgPbjIOZfGaPHc3kOgc/2/gnAWTwj9Dc3m7Wc30ImBPixEPPdbxUEpznmaApKsfN4fIZ6bBo5r68bKZRoIfDOLTGBViaOtvXuyofSe2cmTNiZIZxK0sppOSdzGuL3Jsxf2sBrz15dv4PTivDoshxQVxadFhRXeuSb3urcbnFF07T0r979mtnNEFMGdPY8qsRbWbKfbzqTHYUuKqp+n3xDBpYmEGlY1ZWjgv49y/jZEFNCzxdpWb7hXYrnzUp0XqLnGS4YUIx8KjxJePXNyk+rf7eg3AhwSmEmQTvoa5K99fOA6FhUCt17C+YtOFs1khxangf7U8eVV3OynQCUSKnqQUidGEZvrq+uum8GjN6qSe7NyK8mFAMjlu2LBm8uvzsY1/ReGdNsdPAnCp0WIv+KPLr31iHh7iBi9KZi87Wc9EpI2VU093107UgORK0RH9ckd6bk13tivZVWNP2QJjL07q+PBf7Y0L0Po7dK0qs+dazo3lNYY4jGdlXIsPn9GYtbHcLpUlYm0sPR2+vPr4rVyrWjDsX1Fw1eLu+1HCh0DYM7NbMbgpGc34zwNwN07dj6wdn7za928VKxrc+2fLLtsD3mEvVD1ZUdzuB2Q9WV8/kmHqAagZhvfxP4n/JHtvcddL29MS5t9Y1VdaYf1UpWdVqvqpSoa0EdhoH8bFVLRcq5Zg7GYu+s9OV43Xa/0DTCvl3Gi8LVz6roYrwJLpNt9fJ3uhYxqfqtOVxdC9S7rCBg7fpU533i5YWsOOEMEn4xXhi20HGpdtMXr68dcP//7P1prK1LmueF/WJ4xzXueZ/5jnlv3pxqoqqbsQEPbSNkWbYs2ZKRBUaWhWwojIB2G9y0BaKb7kzLbixjsICmP3iQsGXJbrChoYfqqsrMyszKyjlv3vGMe1zzO0aEPzzvWvustbNuSxTKTyekVN4zxX6HeJ+IeOL//P6AVMWt+1MKNeig490qmfVqPk1vru/nQszLznHi50DMu/ektiDm+UbnvAsxT58tUKtS0hh1I2B32zn9dlIx1bQia+uKLFQifYeq2oLU5+ct6VlXodQ40qslcRqT5RGz11JcrEhmjpDFJBc1s9cz6vE+2fMK5QOzN7fvNUQaD9T3hwBk5w3NwAoM/F0JuMmlQKmVD0zf0CzvZPSfemwZuHpveyXkhrHoPzsVwlpt4TLDxVckRxhPFU1PkcwDs9c0xVFK/4knKjznX9mRKCVdZVdksNMKe13Ic2w9V7+8JzKnhUjiokVLeRAze29M/qwintZM3tkG8qeXgXjmaPOIaOHYu2qE8zqtmbzdoziSfGJ5GGNXntWxpXw3JbvwpBc1s9e21RCDTz35U/l207OC/ONGcqHO0e73qPZj0UwPUvSiph2nVKcD7KLGLKtbnmaDn2lRmWhFdt4w+LghGI1eNdQHKcVxJB5io5RoVrO6m1HtR6SXTafl3V6JZy8Uow9qglEkE8/go5oQaVTjWd5LKQ8F4dmOkw2kvRynJDPJt+7qkpf3tKTFSnlO2kGdw+BFoB4pihOBmJd7AjEvDxXLe5BeWMY/a5i/dbMLnD2KiVaySHCxmJTWQ9H0Lu8oqv1AiAKzRwZTQz2QQptkIhDz5Z0/IsQcrYR965Ag2uU3QutQeSTFEnEkAvrgCVX7h0O4uwIIpTvztsxsChk2EO6qlnymMbI6Kz+jP5DAbLSsMhODWsPTX+5v6/rqP7y/TlGwKS4w8Q039A/tT65vN/Vx8/y6AgjnbvqDzeQSqloq2jrY9Gde35qHur7vtQ/dGmKeJpt8+qY19Q3EfLe17uZAzBqUzSVwhE5rnURQ1qJ6WP+9pt1SraybXTlcbvFWY+c1vpfgYwGZR6vu8GLS0A5kZZafNZ2rq2wLd1eS3mhc3+ISKRAgloHsLeIK3Ask10L3R0mQCbqDlAd1y6jRW02bGinQqLu8ppL8brSQU/f0QjSmbQr9x90418IBdsl2f0FB6MDbYrEkz0Mpcbeo9gzDTxq8VaxOJHCY0nU2RPpWRZpdSe42DHRnyGk651lHvPQU3pCfe5pcUY0sphKjy2jmZEW3Y09kS1kVqq5s3McyOelFja6dFAnMWtpBQhjJ4Vo0q9DLbsexk4pKpoG23xV7NEHy3Arixsl9eZks6r14UwoezVqiSSku3na7P1MFmr7k8uOFpxmJhj+eNvL8xoZk4ml6lqYnRTXRyhNPW3Ttb6kr1rxlbwArq1sfiz43mUjQTC+l6CWoNVNZbWydksnN83Mdy9klChW6c4Du16YSYLkpZdy5RNIXybWspF1Xav5Z7bODrjGbD1upbtvb9RjaVuxbykoCbwfN3qwklbqVQ8QaFPEN1Hv9IbuOw5DGqKKUQAbdSjfq+tO3BgJGVtYoJdenb9IBwXmBrBclYe3Wu76+bhX9c/tbB5j1/7p0yhoSvulvXWgQR9CqLrju9Kf1TQHG+s9e7i+JpUiiLLuDvW5lX3clxbtlwC9DzJW7cQXYTDqx1LwXXeGCUhLQ14URu/1ZI99+B6LeuEZAB6MWhwzZdXQ/ObJdRdP2wWY1jjqAuccn4lIQrMZHGlt4ikMrObeyldJVL4cSuna0fSmseLk1A0ObiqwoqM5nLRIdrqmhvNcCFlsFlicaW3QqAgPlvrpVfedSLcEzVuikc7BF/r4pwe03BB0TrQKLu1JRR/fBVXvqdqmtUbjU4iOBiOvKbbagdiUQbpdo4lkjHIG+EaeMNS9ih6MvE8bNR6sCG8cMU4lOuE0V2aWTooueoukZeg58ZDf3s27ieNEF3c6dQ7ce1RjwYnTpIk1yvsL1E9qexceauGwJibl1v00OymlsFVCx3AeAqyLZQVipQEyuKupRLO8v08TXpYDJi+0blsIZKR1vcsk7KxdwmUwOTV9RD7XkTA1UQ0M1FlC5iwVmvtWUHKChZJXrIznAdZlMQG1PCk7k50jJdT0KpBeK6Wti0bR5FwYBqkfy37qVseBieS9tHkRZA12KCnwUiBaqcxHhM9sriPmr9qq9aq/aL7D9HRbCr9qr9qq9aq/af5ntVdB91V61V+1V+wW2V0H3VXvVXrVX7RfYPvMg7b/26/9K2BysNE5oVh0DlqomDPtyyj2ZbcDZKo67wy0Noz7/0U/+/ObY/E9+/k+FtY26at0G80gSE2aiVcUagSoXhVSodaxZnEPlGX/16V9SW9fnAioEke9UtVC9jIDQVZaK7nQyE8lW06LiSCDcIaD6Pf7qh1/d9PcP/Df+3CbBbUuHWdToVS1W5NOlWLCHgLqeSdFBVaHiGN3vCfh7f8B//O0/e3N9v/pnAgj+TzVOZG+tE/fist4oI8JCqudCXQvzt4OhqF7GX/3gL948v8/98zfv4+XnZy1hJtpcQtjI04JzwtaNrJywZyn/0bN/c9PfP/hf/deDt1KdpGtPNKul0lAp1GyBu38khRbnU/zVBBqR7aleT4hpR2P+4+/8bxTAL/1TXw3rU19dQXoV6D+Rk3JTtiwf9qRU1AVM0chz1RqfSyXf6m7K3/6//3Oba/vyP/210AzW5boCEum98JsDt6anyZ/XrE7lFN1WQRQFRg69qqHm9/7PNyDpX/qnvhqaDqCyJpJllx0Jq/CYyhFdFczfHuKtEndiLwdwKgSqgdmCmP/KPyn9EQQVmMwC6VVLm8mhX3IpBSbFGwf4SG8g5C6zBKso9+0WdPwL/8LXQj2S4WeXivQqkJ/7jRLAVJ702Yr6KMNUDlVLeWoztKg2UB5Yfvev3PT3pd8UKHrQHST80pOfyfXpusNG1p5o1mKnBapsCFlMO5SxtzqN+e3/6/b7aHNYQ8eTa4G/rJ+3YCnlcMtOys6OPaE+EClgNbZb7/eX/6dfDfVQquxMAel1oPe0Jlgt+uzWo1opjtGLGr0sCGmMG2W4zLK4G/P1/+Dmft/5s18L9dDLgWGliOaiVlAeRh+KPDCat53kzgkqIDfUfcFjtpnaPL/P/+mvBTksEyfgeAb5WTf2AsTzBtV42lzobdFEpJJNv2NanFh+79/5Lwgx97Gc+OvaCZIxjfC5IA/1iyupIgNUmt7oS0G0nnobiCI/zXQanE65YA0hT+W/l6sb8b4xqF4uATQSiDlO/3yIuVLQyPWpOML3pD9dlBLM1tcz6G/whiqKJMjtXJ+PtNTmVwEXafwoxR9mKBfI5gVqupAChEEP+jmmFLeCkMRgDT7bQTtGWrSMdUvQYtfuIwMuYMp6owlWvVxkYklyA3D34fbzi+xG0hVUJ+UbdNrbqiYsV5u/p9YqA2OkMs35G95u19rM4Dsb7GA17SCm3kvkft+vMY/PJaAnEerk8IZy1jlR+PTmfl2qKPcDLhfaV3kE15+PiRaKO79d0v/ZjHaQUJwk+CgRJKFRcnLtQ4flu2kugWrf48YtOIVqNNMveszCcPrbgf6nJfUootjXXSCQSqFm2LFRd4a8SxTVONAO1nbkipAEzNxw97cCyYuK8rTH6kh3J9UW11nA6xbUzmG5SxX1GFy6NlRQ+Nhil4o7v9Oipyvqu2MW96SEuO2g4sW+Fu7wjiowGOkL5HS8OoDr9xTRTHH0nUD2ZEE7TlkdWYKOiBdeGMJ7EuTDjjCl6UPbDwKMyRT1SHP9boQpFYd/0NJ7vMIlhnoc0wwtduVoU0NxKIqQJt95Hyk0/YCp5fm6VLF4EGEqOPh+Q/pkQcgiqoO0U6O0uEizOonQjlv9VXuKphfQjfS36Ckmn4sxpeL06zX2RUE7TilPUvR+gil7+EhRHlh5njuAJLsSdYWLb57h9CBgKkV6bel/vKQZJbSZosktyss1VXuK7FykZZt7zQIuFdWCt4F6CPPXIZpajr/VYicl9UHO/EGMLQPR2OKNohzLWGzzPzTeyrV+1h/qqpUVbiNw77WsSFVdUUMnV1o3tea4+iCronJnJHgv/9bJqi94L5Ip57c1smt5UtYJvtsOVL57fbUT1kDTblZ+InFyt/pTSknpaqe5DW2LKrazK/GklhnWBWhldRoiI1R9kEkishtWbciFqUrTopY1ZkcLaxaV/Nm6Uq1p5d82wkeQ53XDRFCdrA0ngHfVbF+fqpotCHzwAZZdgUUINzKxTkNMFN/Iydp2U0O+bsl1vSmz1VXH8rVShbamjGHNRusZIisSuaZFlTUvv93jb4kQ30UiEwPwiXBX28zgT3rUHZ0/ngl0u00VydwRzRzlwfZQvPPbq41djo8UwQTaTKrbglbMH6YiOXOBZNrxTDNNPBFbld2Bf+e3ZIHgYykDdqnumL0S/GefGwgn1kE6CXgjH2VyFYiXgSbb7u/0tyai9Y0MLhW9btvJnVCwenufciwysWTmN4Eiu/JEC0/T2363x9+qZRHhuxW7VrhMY1cSncs7fcp9qXRL5h7dinQqmXqiVaDc2+7vzu8IOFzXsvoLClwmOlvV+k7WZTuplfRVjwzpxGGXjnAc7Vxf118rq1rlA21mNtfXHmQ0PdFV25XDW009sqQTh648/mS7v7t/YynaYRfwcTfRZVo0vUB90qMeiuTNVF52BwcWWwTiaUs93i0bdwKgLzu9dkc1s6XDW8Xsrb6UAhuI52EDP8rPBCbUpjfP787fFga2bmVH4CMlMrVCKu9WDwcU+/Ju1/ryui9yunjhb3ErdttnBt3qMCNatOiqFaG1C7Q9iykddlairxeEQS4UntiiWi9b1VWNKjS+t11l5PMY3Wk7fRahGodLLLps0IuSMF+i8lRWUtbIx+3DJkizU/HVjhLMyoCPcFmErh0uj6QOf1FJGqCfE+JIgN1rb6imRVW1pAteaqs7CdHCY4sb+5h6YIiWnuSqwl6vaPd7+EhvqPeApCGWJW6wc317Obpq0UWD64letx3E2HmNmZeoRSHPL7ayFjq9BwAAoUlJREFUrVrVN9dXN/jhdgWZ76fi9NBa6Kj/PovQZYtarAirUlbJkRDKlPMS3FsngX2HH1zty1ZLW019lKEbv9HbJpc18dMJbl9sUnyn3QxWYScVWinc4KYKanmaYCtPPGlxqaIaa1YnGm+lcCG9cgKkjhSrQ9FnCoqRziFiO6itxe/RrKbtx1T7luUdg0uh98QTLz0+MrgIyg79qBvZ5us2UI23B37bl48+ulyBT6j2U1aHUogweNrKtrSW9EjdU9hS+rKFBNFyb2eldpxLLf+LFUEplvdTVkcG3QYGT1qCUrhYICzBSIFItPLEMyGMlfs70PH7kQDVX8iSujwwLO9oTGkYftKim0A9kFJXH4mjBUhaRQWpunq5zR7FItqfipOBjxSrY9GQDh4LFL0ca3wMoIln8g6sgTY3t6Dt8/sx2gXSK0e9J2FjdaLRjSU/92Tn9WZSqIaaZC4rcd0qQFPtTArV/tqLrsallibXLO9IIOs/ccSzlqYnwW51ZIgXwj82tVSjFTv9rcdPPPMygQykQk23WqDyTlbVvpuAtBeObj1QlHuWav+mr+LQoFvoPaloM0M5MqxOFabU5OeeaOU3Gt7FwBBP1ytlRTUwzN78I6x0o1kDCupxwuo04uo9RXPQsvftmONvtoR+RjvKqPdiLr8YYUoYfdCSf+LgqkRl20FIFwIcaQcCRb/4Zenv6G/1OfzG5SYQNkc9nv96hinh6DsF0bMJLFe3nB7MUnyimr2M5WnE1XvQHjYc/E6fw9/zmCzFj3Lq/ZSzX447/qUAsMN0fiuIR0uPjxXLcczqWDN/26H3KnpfzzhatPh+SrUXUw80159XmEIx/NgzfL9FFRWq3SnbXTWESFOd9lnci7n4pYAfOI7/Zp+D36sJWUKzn1Mdxlx80ZJM4OD7JfHTmXAYRtuloqqoBZgySClPcp79cUuz5zn5LcX+71aoOCLkKe1hn7NfzdF14Pibc8z5lFA0t9ILyWUl9fv9iOWJ5frz4E5rej9IOP49h89T2kFM07NcfElWRb0ngb1lg1oW6Pzm+fWeV3ijxQonVcwfaJqROB9kFy3RpKLNckwE8z1NPZZcbX4h79HU2yuh5KxLNSmFiQx1LxbDxqvA8KMSXbVwL0c5qMZS9KBaqXQSC5jtjzK6FuRjMIZgFHVfEy8C6WVL9ukcrEa91pdVUtKZGzZBPMYU7J45R5MKn1nq/QyXacp9KVsdflIRv1jgs4hqPMBWdAUd4qphV7Ir2a1a6r0Q+5o2F7eJ4lCoXem1VGG5VBwMTIelbHLVQbMlP6lre6u/Jtc0PU1xqKlH0GaBeNrliFctPoqEJTCQ7b43EP9QkcxrzM4uNZ04XKyoRoaye38uDeTPIFqIz141lFRRmyuagcEbKQ+3i4boaPv60rMCn1naznaoHqyDZiCetUSzGu6IW0WTK+qeIlhIryG5qlje2RkvU5nM2lyKalYnkr/PnwdM4dGVxyVSlNL0FOWBpGXoqiGrl/JRvadNV22mxUcvCMzHFp7kWtw/qmEuixAjE1+1p7HLQH7pcOnODn+nfWbQvfqCrLRWp4rifss/+Xf/dR5Xe/zN939Fas/LFpdZcQt4u+HRo3Mu/tpd0osYA7fqt8/+bsHXLe8JJPyf/nv/f/z+/AHf/1tf3PydEFu8EWDzwecuuaoPOZ4mqOntHPH5rwxAwfKuorpf8z/7jb/Gj1cnfP1bvyz51MjS9mMBVL/ecve1Cy71KXcvY4zWUjn1Upu8JfXWq7sB9WDJb375P+fHq1P+2g9+VbaOTlYo1VjRvF5w5/SKJ9+8S/48xmp1q7/LXx4SNCweKKqHFX/qj/1V/trVu7z/O+8Io0ApmmHE6tBQfq4k21tw1R5wPEkwM41LtwfW1a8fowLMH2iKE88/9g//dX5v8pCz33lNDuealpDF+FizvBfI3pkwWYz+UGj75RdzlBfa/+phy3/317/BrE35T66+QnEYQehRHoplSnHf8ehzz/n09+8w/ERA1/4ld4bVseS3qpF85M0woBooTj0f/0lLPI1pM+Ga2lVguS/BY/x+V+WT7qx0hymmaPBpRLUfY+pAMg9MXzdcfikjmIBPA+Pvi5NEcWDFBmguhzu76MRgFKpy+EFCM4jILh3JZUVxmvLpP7JPPQ60Q8/oh4ajb69wqcHFmmguDrVuJ4eofMAsavw4pRoacRV40dCmhst/8JBqH4rXatJPY45/r91s882qxif2Vg5btYGo9NRDcXMwpTBl5w81V+8luCzQe/2ayVWP8bdiQILbmvtaD7e6o9wzmwCzOl0jNsV5orijiK9zqjdL9FlMfK1xeaA+cIQfK/C385LByERUDxTFaaDtBcxKMX8NipOIoC3+cwvay4zk3FBrybGHH4FqPTvrEcpj+Q2XKlbHEgBNKfZL5UGCKWLmb0D2XHKu7dr+6UMpUW+3UROS6vFd5dpIDC+juUxuF19JUA7KA+h/Eug/dSzums1ZgEsUbe8m9eZjSctoLyvY/KzFVI7lnZjrdxOCSlg8DCRXmoMftkRzx+pYIEkEaEZ/BLTjG/+jn1C6iNzWlG3EP9T/AX9p8Q9v6pT1fAknPdKrlvhFxPw0hgA+Mlhr5fDtpfal//H3cEExjgoer8b8fflP+GsX72LLQDvOiK5nuDwimtf0Pk24OBhw0NBBvc2t/n7ln/gubdAMbMlF1ecf6v2Qr09fwxaBth9jz2e41BDNWtJnCdeHOZGXvJ75Obzav/d/+HssXczAlrTB8PflP+G3J28QLeSl2uuC8GZKMgnMLxKKAwmKLtOSwtjZIr/9T/yI2hv24oJpk/Lr6Yf8lcVvkMzlECq6WoAakF577NOEeeQYePCpxZjbkPXBP/4EgHtxwbPlkH+g/yP+0+fvEK06cMlkRrAaO6vof5wyOejRb5Cc9kslvuv25j8m79cqR+0t/+j42/yH179GNNeYxpE8m9H29mQAXxvKVoaLN12e/KUk+9UXxONrXQPf9sVHyhSK/qcw/lnN8iTCNJ5qqDCV5E+jhUOvaqJiO5VSj2PUQJ6vbsImJ6paGP9Y0hJ1lxd1sd7k1uKJkLKS6faE5dMIujROcl1R7Sdy4NoERh84glEUB+YmV7ls0bXGXi1RLiPaMc4sjzJMLX5sycxR9w3aeVQRGH0A4RPFVRWL8WVfk507TOMl9dZ6TL19v8WRRTc3aoNm0K08pzB+X3KoZ8UYnQbKQ0iUPAsVArpoO1fdmzb5nELXa05HwCWB0CjMUpNcKkYfei7iBFMomuHNiwxKgqTdgcq/+DWNKRXBBnwMrucxpSGeSFBMZoEXWY+4gGYgp/yqFcsb5Tym3L6+xT0j99uVW7eZ+KPpCkwT6D9tcamUi1djeU/yIgOqcrfud+0R5yKBvjd9OX/3VvrMzx26OyNp+hpbIh5zhSwUttCY4YYJEnf5eG9EqRLNJU3kMkM9CsweWIafAF5WvNHcocsd366d9plBd9Ek5LZm1cb86OkJ3zl6SKLbzvNJgTHo1tNGlsFH4J8ccPyzGl21hF6G2znNf1EMSE3Dp4s9PvrwmL++/y6tF397sxApmi5a0LD/44a9n1qypzM5QOpylS+3yyonNo7LqscPnpzyW3tvAdD2FHbVQAjYosUbzeh9j/9owPAT2ZqGPMWnOyvxSqDjyzbmo+k+v9p/RGJacRRwAYy8UG+h96lmfn7MwYeybfSjXMwPX2qzJkWrwAfzAz452+f7R3eJjKPoKfqNKDhUKznIve+D+l7G4KMC3ThCnhLi7aA7LVN6cc3H030uf7bPN+6/jlaBMlMCk9da8upKMf5ZzfhnkD6ZCBQ9iTtL+Jv2dDGiF9UsQ8ynF2O+efgGkXK0fZEq+bzLQ2ea5Fox+xsnHH/osasWv9en7d283+xFB5HREjjsUqxSQFYoqyMrq5VEo5y4LIx+5rHzmuYwpxps32v2ohA1iZGDOdPIdjVaBVYninqkNhbo6VROwLPLFlygOkpurazsi6lMspGVw9FWpGa6CVQnYqfeDCRQoBU+MdiFwILq0W3oeHom0jqTWJqBIA7XLsj1SK41aPCJBJG2Z7DnLcEYqqP81so+f97gI03T1wJa8R20JYLVkd4c/vi9Bl/ENH3F8CN518sHOc1g+36zsw7oE4kSxDrJL69VGG0i9uFtT96RjwO9Dy26dZQnyS07nPSiA7zECm8Duuy4GFaUIUEH4omiGQWUU7jMM3gi6YbV/d7G/mhzfRe+A9RI2mAt9/OxfL+mtNRDWZ3HM/CRIjsTYFZ12ru1U+g9c/hYUkO2kgMwgkxgwa6RjF0KYxHoPW/QtYzz+f1kC2iUvlhB63GDBB8p7Kpzj+g4HD6SnXiwgf7Hmrqv6T+TM4tqz+L7f4SV7o+++xBTKAYfw9Fl4H/3/f8WysP+z8T7nRCILlaYLCJ93OLzSEwkO9KV2uE6fPjXX8MuhUP5xnXLf/D7fxJbBPZ/tBQdrPeYyQKUoncxIyQxarYQhq21t4Lud3/3LaKlov9J4HTq+T9+5x9FV3DwkxpzvdpcX4gMyZMpvp8IO7bq9LD97ZzuN/7gTezcbGDSf/70v41uFMNPJeGPEyfVtmcYfFzS9izZ43kHbd8xuQR+8tuvkVwrek88hwH+7If/PfKnisP3C9HDhkByUeDTiP5PloQkQk8WG4awarbVBqu/cURdSN58PK34Kx/+14nmgcOfLDawdj2TU//8aiayvcVKuMZRfOv5PfvRMaqF3mPN3lXg3/nen6QeBbIXSlwOPMSzBlNo8hcCXUk/ukbNl6Is2b9ZrSVTOfHXTmxpes8Vs0ea5aMW3RqKQ03bk48gnQby88DwJ+JC4ePhLYmXXtWQRQQrwTy5alidRCzuK1wSqMcSKOJrTTnSZFcOO28kNxu4RfFSS0EvhjzFDxLssiVYxfy+pTiS1V6z15KciWwqu5Do5AeieNkFwOhFx1Ie9/B7sWg4FSzuxTQ9Wamu7jt0IZY60cILRD0xBKtvQVGCUdApM3wkk1fb+X1FM0UzUNSHLTSa9EIRTwL9xxWmaLC5AbYnVFPKwZNLFNl5l9K5qyjvttilpR5JUDaVOCkEo9j/QU1yUVAdZrckbabqctwGtFOoS8kF12OPamVibAYCMx98LAehg08c8XVN249uSdrW1kUu04SZ7BZWR/Iu0otu1zIFFOQvZCeSv6hFH9uzt/pLzwqCld2cSwx2JfnY5bFM5tVY0fakTxUkiCedtVPvuaV66WDTZRFmWYmm2nS2TokE7XgaCBbiK3mH2aVY3Pc/FI50tR/fUkXtts8MuoffVgw+rUmezQmxpfepmDzqqkXPJGiookKfXaEGPfRiJQFNy83b55Ot/u7+zYr4YiVuCdZw5xOzpU4QzW2Ln84Emt26DYMW58S94aV2+rue/FklRP44ov+BlUKJqkFVogRQRQXPZ6hBH1N3DN+OHmbOplv9jb9vGTxuyR+vaAcxw49EshLNW+xkBc4TXa1IPlziRz3sBCHMd2mA7PEOdPy3HNmzJeZyju/nDD5O0atGLNgbIXfpVY15cgFZKgUT6+dnLNHz7eu787cLossl6noGScy9M0FFqk6ChhHFB/M5ZNkN4nItIZtvQ8z7H2n6Txz9j+e0/Zj0ysiuownEV2LFbWY18cUUP+oTOSfPM03weUp0dWPmtzrWIph/2jB9PWZ5X9H0PcmFIT0Xn7D8PNB/UlHtRehacIO+P2TxYCdBB8zfGYtzbuG5fidm8QjanpfcaCurrvhaM/hEJFb1QINKcLFm/kDjd42j3zgVU0ituPp8zuKR/L5diXus8pA+sww/lFXR6sjiowwfKeb3LG7nEuu7Q+ysAhdYHRlmb4iQPr0UGpquof+hYfixRK+mp7GjBJcYFnfsLY+0ydsx2YUnnjvmjzSLN2Tcp88tupVVc/6xZfwzj4u7ApG+pR5HLE+MBKiXWnEkK8P9H1dcvZuweKBwWSC6MkQrIMgh096Pa5Z3RTmhXKA6yikODdFy+/qqMfSfyMHY1bsRqztygh9PNNFCyF39T2SHVY0tqIB2geX9TKR319v9lfuG9ArSFxXN6xnTRxEuY5NiaTNxgdj7cU21b9GVpFhcbimOrKyUX76+w1SeqQ8s7sUUxzJGTLHGPIJqYPRhS93T1MeWoPobNcTg45vrW91NSa/E4bjJY2aPkm6CAoLk0m0pi0eXCPmuPsjwkWZ5Ytj/7q3hvNU+M+gOP6qILjpvsEVBdD2/wTGCSK6cR+UyIkMcyQq3aQX5uFPMkDydoebdh1rVsGg2CxKVZRv9q+AXHSrW8vtNQ6hqVL69Mu09LjBXYiejViVm0gXUNas2S6S/NBXtaRwR+lJ0EYryFhS9/8SRPynABeKzJfE6cLeOkMT4UVfxlaeoqiWkEW6/j17V6JeC77qlZ4V4q4WAni/F2kgpgZ6PB4QsFg+yJN5AzMOgJxNGWUG+vUeOXswk6GktlurzhbhjINVrwZqN/1vwUgyhevkNBH7HTmjwqSN/LgqG+GJJshJbeh9bQqSp9zPsqhFZW2RwgwTdT1F1i6pbgn0psin5SJanEfm5Y/A4UI0MECgOFatTWVEtTxNQ0OwrVkd9krnH1IFqvL3UXZ7obrUCtoDxD0VG5WNYPXAwaOBpQnEsuUDZkmtMh3gsD7c/yumbGbYMuFi2lwffg2qgQAeuvhgIuSM6t5QHCrsU7WhxrIlmsnKfv7bVHYu7MWkmSoje85bec8nt6yZw/mVLMwjEM8XqSJNeS0rq+u1UKtcmnuvPbX8b1VhSG9XQkj8L5M8MbS45xdlrmtWDlvjasLgjKgmXyAFUPJX+puPt/nQLyVycD7JLz+CxuDGYJsjq/lig7eWBJZ6Lc3FxlIiVeempdjzN1v5ji1NLehnoPZMURTp1rI40qzviuVYcWqIiUI40q2OLKQPp5HaxhTeSjy6PE2wR2DuraHuiI57ft1T70l95KKmbYl+zOkpFercMtyRtiztWvNqMyP3yF8LQjeaB4kRRHnk5+LsnIc+lsLpjiSfQf+YE57kZe2ajLrFlYPSBpx5ooqVn/tCwOglES8Xy2Ai4vadYnSai6V4Elqd/hJWuKVswClyQD70LUqppJUh0sOuQdHBuoyUoNO0NrPvlttaLdk0ZcwPMbltCkolTwZrV6r34o/mfnyNRXV4ULTbUdFYzai30110hRxJvhOeq6Cxx1rY9Lz+MlWxjRDitIcrk2laylQxKCjJ8Hm8mHz0vJUj6cEumpOvuurvJZ13JpZwUcoReiipLeX6JPFe1LOSe4VZ6RjXdqt972RVE0c3hWCPl1IRayqa7vxea7j3t+MFBJ5GLNGYlk5Uf5GC1HKY0nTGgCzf3q9Um4Mrzuwls0UIYqOvcY5vrjb1OtAw0A1kdBCNKBR9BXAbJlQZuHYwEpSgP2diXBwMoyf2ZpcYNZJUqW2hZHalWPLHEymanPw3VSFag0DkLm3X+WdHuOaJ5BEHydrqRn12Puwo3vR3E5STfYKvOqtuIhpYA0QrKE0/0RHSny1PRwcZzCT7KqVvpFFtILjOeBFxyA82OFoF4CqsHEM0lBVEedq60s7B5nmbb7YhoESjH3X2UUljizTpHGigPFfEsUPc1bU+h60B6Ja7Cou/dvl9TiuWNXQVo2azw3ErJqtiLrX21pyn3ZQJOJqHzuQvYnYM00wTKsSFo1UmupMDE4rEl1K04MreJwg1EOWGXAlCXcbndn0tkx6KbTgmzXi0XEHX3m50rTH1T/ZheBrxRm0O8zVgxIn9b/5xg5fzAVKIq0Q6SS/m71V6365oFqWAz/B15up8ZdEMH8g7RbaC2qpsujeAl6Bip1gqRhaIU+PnOym9T5QS8DAnH+Y47YKGsZZVrgpSwJkZWudHt0/eXS43V2lXBewkIVS3XXctEoEz3s+MI2lY0v7vXpxTedvY3XRWZclLBo4qKEBlC49GzAuIIn1pCnsifJdEtcLZMRIYQKbmmbiVPHIHzUpFjtFjmRFYOuoyW73Hn0OvmnpUcy64dLdatlRJdBYS6ERi71lIC3Lqfe7/ryqdgRD4XjJbcIuKeuuYymFmFTyJCYvCJxRS1lFu/1Hx3uVK51RXAdKNLeQmMvqsGCkrcGJqecAuaXN0KuuvA2ebdgVkrOUoJwIGsV9HGCXqm8MjKxceiRXU9j6q3x4pyEJIuoNbiGCB9yWQ8Gq0okxQ9k+sOVn52tSc23rsfkm67NMShWLas+1O++1mDFh8b0m5b7WIwNR2cm1s5Z1PIY1sf9qwdC1zcBehYZFfJdUDX4tPV5nKqP3+gxVL8pdZmsnjQtTxL5WED4vZS5tpmiv4zB0rT9CVvnJ0F6r4imW3fsLgod/066ZNO6qddwEey+s7PZNxUe3KN6YVA5V+GhIP8u6AlSDZGbaDuPpJ78rHaVN/VStNmdBD3QJNpoh11BUomCwGQd883yJjQLbjUU48kyOsWnJE8r6lhcV9jX8q8+UhKp9f/rbuapbUvX5vJ6jaZBEIl77PcF15GY/TGjeIPa68g5q/aq/aqvWq/wPbZyYdX7VV71V61V+2/1PYq6L5qr9qr9qr9AturoPuqvWqv2qv2C2yfeZD21p/7amjGTpLUK016rhl+7Ol/WqGcZ/Z6Rn4ucApdNIJCjC3NOMUlmuLI8vW/fAMa/nv+O38hiLurnG7GsxY7qVCNQy9WtMcjVOMx13PCfNGdyCeoQQ9CwO33+f9+489s+vvSb34tuJQNmDqZBPIzR7RsiV8sqI/7tLkR6dZkKQL5LMXt9QhGU++n/PX/zz+/6e+tf727Xw260CRXmvypoP3G372iPukDSJHAswWqcbTjjOog6ShQegv8/IV/8WuhHt6AqZOJgKmVk2S/XXryT2aUd/qgFXbRELSi6cpf65HZAl1/+Z/+WqgOhPFpCkVyLXIXU4uetdq3DH4ypT7qbR3qrVGL9dDwt/9vL4Gp/5mvhWpfwCW6kv4Gj50I/T0sTy3DT2rqkcUUXrCDWhGsHD4VB5Zv/HsCa/7iPyeQa5cKzSmeQu+5x5ZSNVUP1o6+cppuKjmIcrGcKBeHmm/9Wzfg58//aYF6+zQIyKZQZGeK7MJvDkqSmefii1YOSxo2h1PxTA5Q/uAv/uamv6/8z78W6kGn13TdeOkkPspLaacpPFfvJTQ9OfRSrRyYRQs5qHv5+r70z34t1GNxgdWNwhSQnQsnV3kBxMSzhvMvZ/hYDsp0V2ChG2EY/MHXbq7v1/7xr4ZqpDoxvqgP8gsnBQlLUQPZeUVxty8Mh0oY0kEjVVojszX2vvTPfi2sq/J0IwqSZCqHmPmLBrsSbkq1J07CAm8RlKYpPW2ut6Djb3z1LwbX6xQtXTlxeiWyLtvJuEwTuH7bYFdri3VFPZLDtKDZut93/uzXQpveKBHsUpFdBFHB9ORgNbtsmbwVYapAPJMD1+JYlBo+hh/8a7+5NZbrAS89PwGPm1rkerYIJFcVszeyzdjxVsBHKDlU++7/Vvr7wr/wtVAeyNjTlSKeKnpPZczaUq45e15y9flcVBWlFAatnYBXx4rv//nf3D7Jfan9HdQLoJxCNYJoa4aByy8qFnczTn6vZPihHDkXpyltkmO6+mjXsVLLw52f20l+dCsPuk0Nzb0euvFkH9RSzQYiocoPJehag+/AOS7frvqq9+RkcS33aPqKqwOLbizH3w5E1wV2YWgHMfRjdDUkxJpqHBEt3IbvunkYhcLUFrx8OLrt4DyVovc4J34ypT3oC+z5fh/VBuqhock7lF22Ixlr6NB+IgOqRzB7SxFPNEffEbpVs5ex6lijcSa0rGossq1d3CEInNllnrYnp83zNxTRPOLkGw2Dn0yFQLZvaVMtCDqrqPsiofG7MioD9dDjczntd5lm8UgRzS0nX3fs/WhF27M0maLuCdzaxVD3VXe6fNOXS8XS2uceWqlWmr8RsCvD0bcC/ccSvOuB3pRqtomccuuWDjG43Xwc8MNWTt0HiuahYzaNOPqmpv+kZnE3JhgZS7oFF0E9lmq19Ynz5voSgVM3A/lo8LB402NnhsPvQHxds7qbdqJ8qdf3kcCAyn2RgW2NvRFUh46Qd9olD+WXHW4ecfANQ3xds7yXUo+kP5ScvpdHHZlqp7/yQE7BXRI2NuHXX9CYSnHyDUXvwzntMKXaMxKkSjndLw71LSWEPLtO6WHl3bR9xewtAczz3Yjxj0qaYYyLFKEn7IpqqFmdarIzvZkg1i2eappWddK9ABqWDxxmpRn/GLKLhvIgkuIGCw4p6XWZyO5uQeATUZkEI3bmLlOUdwO6VOx9H7KLFpeJTrvNJZ4EA80wUKa3KW1ND5pRwMdSFVftK+Zvgik0R98SNGu9F1Puyz9sM1GFlAdqIzl8uQUDPvX4FFxPsXoQsHMB6GfPSoo7qcjFkLgBAo5vhoGgP1uc8JlBt/dUYZcC59VN2Oga06uOF5pZ6qHFxYpoJZCLeigBI156msFOUFs6TOXRlUPXrXACtL6BhK8lYNaI9CuywultRNdq7PaT2fuRzGSms3BBi8wtWrayYtzPcInpICJSPliPZWbXtceutmUs2QvRUspKzG+0nMmkERDKYZ9mEOETJUi90gmRqPVES3crSB5/YwVG4SK9sSFp+oZoLrNEdbdPPTSoAMlE0HTBGNIrubbyYPv5HX234Oi7AgqX+1W0WQdXdoHyjvTnrSK9dlJhtCcs0njhumKFl/r7TsnBH0gtuW6knLHpm072FMRVoK8xDcSzjvO6b0gnAVts93fnt8vNs163NtMEI6ur4iii7stKIJ7Lc6/7HSxl7il3xPgn36i6enfVSc4UbRrjrQTQy/cSYSU4yLqyUSnAkFX2bgXZyddf0qRpaHLbgcwDLlKc/1KPZtBpVK+kv+Vd0Z6ml7c/ovv/6Uquz8jzc6k4ErhuMrr4Sr4JuOmFPIPyngCAsotAUNt93v3rM+GZaCX84riDrHeT7+LNIXVPWAbJwnU6Zo0tIL12tyhop79ddBpZj7d6U4oblJQZz94aiGY4QFQI1KVZv4+Zu8WaGH4gq1xThW71qDrXEU+Taa4/F0tpsZZSW1MHXKbInymi2W2o/MnXfafjFslZUIE2lWBf7iumb0RSMNJpuIOFaj9gF4r+x6Jp3np+f7voxp9MRioEmp5siZpcM3s9oxprVCur/mBE5hUtYPCJl4VJ19bAdh+rDWRLFlRi6zN9O6fcF21vMhU5Ybm37ut2Ichu+8yguzrt6vCXsi2sxppqBMs7mt5TIdYXB7pjmsrHWo1Er6adfBwvt3Jfql+sUVQHiSDp+gZbetKLWiDh44xgZMBpJ+JlWzjMoqIdbne4PNEkk0Dqg5T2DWTGNKUR2PDCU40kELgji2nkATV9cQ5YnuzoVtewlo6hWo01TU9R7Bvyc0c8baRWXCmavqEeCqIvaCUIvePt/pb3U5QL9D8tcKml2otY3DWY2tB77sQiJVHd9kZg6U2uiFbyQe66ASzuSfVO/uxmh7G4YwjKMvykxRbiyECQsljtZNeRLmWbuvshNT0B08fTmhBpmtyyOjY0uaL/1JGf1bS9mEDoCFzCcc2uOueClwrSmr4MJVM4moHFR4rFHS3Q8WeB/ExgLy5WFAdadidKRPLeKuqdijTtAiF4TCHb4KZnKfeUsAQuPelEnpWLpNBCOUiuOtueGOrx9thTTnTcumzwicUnYq8SrBCo4qWinUh/IGmF/mO5jjaVbe12h/Leo6sS14+phwmrY4HAZOfiIKAb2RG0meiC8+eSzvBGsby73Z/LIpTz2Mslqp9Q7fcoDgxBQe+FTPCilZVUgqmkEs2WspvZHSviigHxpBWEaE/TdG4KvWc1JtIEbWQySzTxwtF/IsG7yWXFu/U+Wln5q8Dmmyo7K6N4FsjPPLruoOihS800EgOaU0Vxb3upu17ASRWjQbWBxUNQQQo/9n7sUU54B+V+2KwmbQE+vsFVrlubSnVgNGsojxLaTDN7JByOeBIYPJGKPJdKibRddRPsxKM8WxB4b2Wiz57LbqA4tMwede/2TCD13lixlOoKUHwsKaE1FOez2mcG3eS6w6RlMiOut5PeCsbMJd2AN1J+5zP54aYKpBcN9WB7z5hMXVfxYykONJN3AhxV5N/NOJ47dC+hGcbUQ8P1OxLMe08Co58V6HmB7m33l14JoascCeN29m6L7jfYj1N6L0A3nqAFury614FTLhW9Z570oqUcb/cXzwPxUtIEPlJM3ta0eWD4gaz8moGlGhhsJfX2LhWxeu9FC56t2VKuT1bc5WFKPdDMXpcXt/cjT3xd0wwiikNNehU6iLTkSpPrBrNs0K9tv57sokW1gTaP8LHm8vOWNg8MPgok1zX1OKLJFfEiUO7JLJ1MPcmkQVcOu7/T34uiK04JOB2xOra0mVSVxXPJxXqrSK9ayr31BIOYGRYO81J/2fOiI0UJyLw4sKDlI0mvHNG0ph6kmDoQtIjxXQLZZRC8Y739kUfnKynAAUyeUO4PulVFoP9JgXKe4k4mq+BYAoVuw8Y7rDja7s+ezW5MQXspLkpJp0KIyz9dAFDc7XWwmS7X3HSIQg+rnYq+6GJxU+BTanQbs/fTBt1xK1CK2Rs9dCsTlIjqNXYloPzFTrGRve5W4kZvLGt6z+U5xy/k+tT9oSAGuxaMwpReUDdH2/3F07rzMrOywxvoTS4zvizl/MUMaVspgKmGMq5NHTpLnh3q24Xs9lwsu4/liQBf7FIMKqNpQzXKpLIulVWzN7JLcLGivLP9/JKrdqsqr9jX9D+VXHv/aUN8VdK+18fUQSoPu0KW9a5D32G7v7OC0O0Ao3mLSyJGH3hs5UnPKnTVUvcHxEs5+9GtIB2TifCIX96ipc8WkmIMoWMB5xx+T/LeuvZoF9CtpXfWbgBF5ViTnzuUDyzv/RHKgHvPPNFSEtHlngQM5WH1ekMz7Azixi12aul9KnmV8tgz+FgqmnbxdZM3hY9ZnASqOy3//V/7XZ5VI37r0y9S7cvqqDgUQn5xv+HBaxc8+/Yp/ScdK3MHxVjtKalX34Py1HHy6IplFbPqJUxfM6SXWvLKXSWOfrBksZeQXkg/u9engkwe5b4W8tQbBX4RURxZ2iySvOw4kJ3JAF48crjY0H8qVT5+F5ytpeKu3LPMX1OUb5foFwnTNwzX7+YU9xsevf6Up1dD+KBHcaxILxWDxwHV+Fv4Oh8ptA8UxxGrE035XkGYxkxjzfy1jGbfY/YKwrOU5EJRHnv6n2iGH4jf266ZXz2KsauWNrdC8Hoofz57M3D9BYNPNSFr6f8oJjsTpCLA/g+9mJW+NLaKk4xo2eK6gOs69u38dc/0PdCrDJ95hj+25GdeQPADSePoNtwC1Ph+jOksaXxqSS9bdO24+kLG1Xs96rFEpvEPFcffnFMeZ7SZJntRUZwk7Oze8aNcnEu0JkSG3uMSs6xYvDnixR8b0fYUbQqDTwP737qmHaeblNDqNOncI15qWsuZQ1dV2X9/ilpVzL98zOXnh9RjqEee/seGu//ZFShFfZgTzWrK45Sgdio8Q5DS+ki4F9mzAr1qKB4NmP6xA5qeVHgNP/aMfzAjRIZ6LxE7o95tipe3kvYKVtP0Dem1k3OMkeXZnxjJImEPBh8Fhh+LLU0wCrt0NANza5fa5uKHJhOSuAvHc8/8nuHslyKCjaj2Pf2PNfs/aqiHhmooB5/FoSbY7RfiI4Ut3Wb73nsh13f1bsKLX4vwsaU6cmSPLcffabrUnSU/b2n65vZ4yawsspQE5+yswRQt07dzJm/2aPpQHTl6HxmOvlN16MyI5Kqize1Wf66XoEuBSPnEkl6Iq/XVe32JCwNhBg/fjzj69lJSTCYhfVHQDONbZye77TOD7vKO3iDdfKQoTgLBBMzMsPdDyc1dvieBdHVPnFaDCgRtUI2/AQ937cv/g+9Re4tVnkWT8I+MvsNfvvh7iBadIeCzBeX+mPQ6YBYGF5SceXSz6y6LQP9XLinrCKUCsdN8Yf85f3B5h6pS3baxpR5G2CKwuhvwXoPvyiMbf6tc7/nfL1uaYByqVjw8uebj5lDycpeSe7x612AKOUhRXmrC4ef39+k/bDFVl2bRnt6gpHqakF4EemcOvqN4/nfdod33GAtOizrARZqobjd9r9vTv8+iWtlpqBA42F9wvtgjvVDs/0jcCa7fyTdlrIDM2M6jyxa7c32XX0zQbbIpr632/ca+ev/7kt9eHUdyEBizObQShkUjefzNWDGo1qBdV76adBzXQmGuLb3HgaZvsSvZOekWdCU1/3bRkEx2v6KA68VyUj+vaIYxbRyhWsheQDzTmFK2//V+iiklTx9dCec2Pd5O6upSHJnRiLff4UCcTRSd1TbEU0mZNIe5sHQBPSvIFKRH27AgtVht2B1mVYorcxyhXOhWUop4Jtvt+qhHfFlgSoeerkiM+jn32z1L5zHzUvznrKx6JScfqArhQLSjRCyOKodelESNI55v79qakfBQglVEC4fLxNdPSrA7xGEr/10eRALfrr1wqIFovh05XKJw3fNKrxzFge0OtzqmRhfsghHVSzz3JDOIpy1BW+KLnUiklPCHgfSyoR5ZXKy7dJekCdtMzjsWp5bsyhPPAtGyFTv6851ZISBcEx+IryvafixA/8Iz+ER2GauVuGlU+xHJpMUWAV21xI0nmdw8PzsthN0CGBc6rq6cbe3/2NFmWkwu1Y1nZLSS96YaT3L9c06FX2qfGXSz8/Wpe1f/XkPbBz9oKQ5j4vmNBUiIPCp19H6QYmpPcZreyoM9WY7pRTWt13xwfsDvHryFUUGsXbywBGwp0qvkQnH9t045+JkYRfq9/iZvuG7XFwOU8SgT8CvLB3sHGO1pB570zGxgKM1Acjj+k4zhR7LFaob2VjI+Pjf4RKj4dqm5XOboyFGNA8k1MJOXu3wgA6P3qWb4kQzW5Wl8i5QVzeXXwXR5y9ri4kAz0MwjQewFBSHyxBPJk/Wee1xqWD0aUo+230c0lZwUUUDXsKpiiD1NHyZvCf3JWygPA8lEkZ5p+k8daMXq4ZBy5/qSNVyly2GZ8gYCM3tdk1wpXCppALuSQ6H8uUwM5b2+QEG6lp9JPlnA2d3zjhWmVLRZlz6Ju9/rdtLDjz2m9lT7Pwc6/uxaKHGdO7HuXBpsGVjdVbhYjAVNrWjPNPG089VSimo/ktz2y+35OTrLNv2pVoKcXcnhpovBJ4r4WnYoumg2fIu2H90C1PjzS1QcodKU0BeucNBCGVvdUbQZNENPPNFyYJdHAs/PYqr9ZEv5AcDVFKW1wJkyMW0MRsnhay5/udpX+Bl4o1GJxXQTQztIttIOIAuYEBl8LIdLYDupmfjM2RVUB6KAUWd0skM5kG2G5taurffJSlCcieBYbSn5UruSwyUfybiph/Kt2CJgVy3a+c0ueev6ns5Ba1wW4VMj6gYtY6w4FZWOCqIGSC/Fdii9doLSvBfdWonbcyH4EVnacYZ2HjSdvVX3fq3seL2RvHRy3R0OH6e4l3a96moqpL4sIXRGDGuC4MWXJJeLEs6xO1vnkltCZChP81vPbrd9ZtAtjmRL4xOhwsdTRX3oiPs11V7EzBuafsDONMmVQbcR+z9siCcV9Sim3bGZ/vBHd1CNInuu6V8G/u0f/Ekxt3siBw0+sUTdoU/vqcNHmuzTOXqxkgegd1CHzyN0I4n35BrOf3aPei9gvSS1254mmYbNaqHNFOOfFtiLBc1RH91s337+TOEyUE4OKurpGNsXaLGLFcW+HLxEM0X/U/lo8+eVWLqEAdM3tldXvWdBkuyRnIQ3j3PiqRYw9VJRj6HZd+i8JbmyRCvoPRNcVD2INs4Lm+t73vli1XI9i3SISsTbSrdGUiOHoi+0j+XAq/e4RJct2sW3TpDlwE4A20Er9IeweAj1vZrwIhYdbRo6Wx1F/iyI80bjALPVn65vrtXUgWgJk9yyfK1FF5riGKExTSTo2lUgfy5bQBffhnrTthBiAQP10i6nblg80NRjj9sXr5f4acTqyGwoXyaLNlrZl1uoBXmpQhAkqVLCZj2QD745ELmRXWrKA4sKPeyiC7wh3JKgqTiCJCH0c9pjMShzmWVxx6KcSKV87mhrRdHlvqNpA1mES/Wt9AdA8IL5DEmEaj2uF7M6jTpXC0Wby8TYDA1qGjDLIJ6C0e0colqWKEClCb4fE80aURsdyoq3OEbSO4U8t3pkyec1qm6xq+SWXY+u2s4O3dEMY5KpqFfqDg7e5oF25Ei6xU5xaMguIJ56skvP6nQ76oYN+IpuRSso0NWJwkeyo3Z9h510qcBMEbQh6LgDoO/ccEfw83lMm1tM46kHEfN7kippc1nc2bncr24DPtHCwd2VZnYB1w8zmmGMKR3VQcTi3o2LdZuJQqbpaWInY6QdZfhE3Z5Qd9pn/rH/Y1PqxwP6H4ternjYovIW92nO6LFsM+Mp9M5ayrEhKmTFWu0nFIeW4c+2+8ueGPqPA8NPCtrUkF0ZXKSIFy3xRAou4usKcznHjXqSyO5cGUJsyR9vQ7h1o4jmbFihItpXmFLQdLoNJBNP70nJ8n5GduHAB9r9Hi41jD7cPlGtRx2ouNPvtbnkGrMzWYGrILKy3pmjTUS+0/QtbTakHlsGn2wP1CZXDJ6IFGzxwGAfLCn3Y5JP483Mnn9qyJ+nxF3ga3I5WZ++ZmV1/VIrDxX5CzksunrHEO6VRNbhPultVo/5C0XvmeAjdQs+NdTjmPlDe2ugzh5p0otAVASu3tGsHrZE4wpV2Y22dC0MV17keW1mceOI6RvbebD5AyvuuleO689FrO4EmnELkcebAMoQTbXIcwai2KjHlrIbzLeULu/d63JliuvPRSwfelzPg2k4uXfNaW/OT86PUD+NqfY69cdCJFxysr0T1V6/hzeGkBjmr+XMH4o9vLdQvVlyfDRjuszQTwYs7hlWJ4b0UtIby9Pbk4L73ENUkEKZq/cyFg9ucJLNcU2+V2CchucDlvdEMpddWFwEq7s/R7f66EQCsffM3hqwvCsgdtWpBoIR7XByHVieiDY811LMsDq2t3Smfq8vOvsAy/sZy1OzwV8u74cuxQaDT72oLrRGN+IYUY3MrbGyejDYnFtMX7eU+/JtKB9ojhuifo2qLemFpRnK+c7yjsUWAoA3O5PW4s2+qIS0YvKmZXUacFnnJtH3qLxFzSOyF6JfDhpcJqt93agNWnHdlm+MiacySU7eiilOZcGga1EU+AiRmz2WYOliUXPUI0U13tZNr754V5xFjOLq3YTyCJqejClTyoSqvCKZSJFLm1iinhbFxGvq506oL7e/Q0yWHF49klVW/sxQ7VvSC6k+mT/Q2BUEY2kGiqoG5cT0LZn6Tc5m3XpP5aTTG008rUlfCP5OV60k/EcpuvEw6glGUCvoxejaoWcFYQdirjvNnYsU0dKTv5DclV042p6h6cmBl8sspvKUe4biICeZe9LzmuXBdl6tuONQrbzU/ieK3hMEhLwUrODqVHLPPrIb65nlHVkVDz5ppbrlpVYeBkwtErPR+wF+2qceiiJkcV8S+3YhSonk0hCtgpg3dizSXV+pNhM9YLlvGH7s8Y/TjV6wHsn1JxeGoCXfaeogLqWVyHqKnWKVNd5vumfoPQv0HxuKI9GruizQHNVELyJAimPEXcBsBtXLM7o408L0NYuuA6OfSFBtM1i9UaOOS9o2pTiSAFYOYXVqsMuuCOHedgL7+u1YtK9SBEh8ramMpLZeG11xms74ZDpmeuIxpXxgQQfMSrayd7/8fKu/1aNhJ5uSFEo8FXC6zwPvPnyO1Z6L6wEMZOItj8TeJpl0z+yPT7b6m7/RE21rLqmZ/qcyVupR4J03npHbmu89vYPPxTOs2pdzhWgm2tv2K4ut/pYP8o3+NVp69n/oaPpaNLCfl0KR5FICsS2Qw97DRJi1DmZvbHXH6p6s4IKWlE/vuXh4KQezz4HPHenTiKYnz6I8UJx/JRJZ29xz8SvbkWP6hrzLthfwtvNr61I8OnE8OJxwvuixeBhjKkUz9IR+i1pasqeG5cN2pz+DboysGBNh1YZIno/bb7lzPOGFHVKcZphCUZ02EHsoDGauqfa3Z8HFXUM80BukZe9TYTgrD4tHsjNSC0tRGaKFTAo+DsLbXbLlpjy/Z7GlEcPKIjD4UA7t6zFU+w59UNMuLUtvMSuFjwO6NWKqWbFl9Pnz2menF571UUhJnYulMqftBeKZUOlNRbf6EXlIdQz9T+T3UBAvth+MrObkEMhHRjyItCIKoIpmI9HwWcd2tQo7qdC1lEGqZvvDTK66baTqDoLGVgJBEK1tm2nR6o4l6a98p21cOVlVL3ZOqoK4ncbnmqbfVaukAV6ozh5EbWZsXUugS8/lAbe9n7NFVrItTK4ld+oitZn17QrKKGCXEqzqMTRDRXIVOqG7HF5tvawS2lwmLymh7VZX7c1MrRuZKF0isp30MmzkO7urITyUh5BeSp4rdPDsoOWQCy8HXsp3YOc9STO5VJ7xLrmjOJaP2q5u1AjBgJ5ZyBx2qTdbM5Ssupq+9KOaHQ3xQALVmgO7/n904PlyyHEyZ7FMwXOThlEQHhYQFK8Nt5dC9UBTjvXNNXcVh8rD8/mAt/Yv8FfxxhDSLkQeVxzJDuedve1tR5OLNnv9zpUXbboKcFXkPDic0EwTbACXd7Inr2hGHm/h0cGU3db0RPZGe1ONKOXiirLviefyXuuhwMRtIRNn0LArr3CRFM5s3nnoQNwNJJeK+qgivYgIChb3RVufXIvks+7r2xVzh2Gz80PJSi9E4jAcZjHLg5j5VQ9DpxSqFeE6wudeglC0o6vNoU2lsm29KZEKuoAqDJNlhltGqOMafxVhZrbzy5Pvwme31RCrE1EqrQ+g1/B73Shcq7FLLZOzUahGIPg+giZiy5iyzRXVvuyYXcxmkRG0sIx9o1Gl3lRC+kjuod6TNNTa7PMPa5/tHLHQm5ykrIrkobcd4Fc+RtF1+pWAf5uhAJDLsd5UHq3bZoUUaTBB/l+BTgzRstoQ+M2yEfL7IMH1InRZyyq3vY1k38CV086dVIkwPJ62m5WYLTzeihRtdWgYfOo2vISXWzwRaYtLu8OvSAZB21Ooc3mBLpFtXjwTRYfLJLAtT4yYAb78cJeyjWx63UGk664vFnUFiaPtG5KJQi1CJ6OSwFUcqVtbPLu6UQas+QNistf9uiv7tEXnGzaWYoL14c7uFk+F7tC3q0ZaB5CgAyECrMclN5T8YKTUV/KKYcutoM07YHQlpeNrFcN6y533Soo0RV3Lz2mygMsDqlFdLnVXbre+Vwl6upaUhDIBoz0P0iuStGGRJqigCNZjBg33Dyfsp0tWbXyrP7Sc1qM7l1gpiKJxhi8MnvGN+A1comm7XGcwEO6UjEZL/C3NWFcq2h3QRC9df+s0n+894z+JPg8emrHDrcTC3O21nN65phftvgwJlN52NuIvKU1MA6HnCFp2Bm3W6WBjCQrVwe0cp+/cDpq+KETWPms+CAdiOFhRDTOyopvMM9UFwi7Xu9q+3/UYC7FUpuEgKClJDyYwSkrmo4JVk2MWBh8FGLYoFXC9BnYs7CX4yWoTFTrVkCzgggkkUctKB5jJAaBPPCEKqFrjj2pY2FvX57tDMjkwlGcaJMWMShxgZTK18vO9l3tsRv7Grn7z/EB1MHO7ZLOw80lAxw6vrLgpZzdxIiioDz7bCRheQcxftVftVXvVfqHtFdrxVXvVXrVX7RfYXgXdV+1Ve9VetV9gexV0X7VX7VV71X6B7TMP0j7///gz4Qsnz0lNw6qNeTwfc/bBAfu/rxl9ULM8jQhaEvDRUsAWTV8JBLqShPbLIOlH//afD9lBgdaBujY0k5TsU8veTz39T1as7mYbwLkppJKq6Ruqod5Ar7/x79+ApN/4v/yr4XR/RmQctTNczXs0H/fY+75i8KShOLRS9pjLaW8winogMqRoISfO3/k3b/p79O/9udDfWxHbltYZFvMU82nK8APoP2lZnVh0G1je0URzqcxq+9D0pUItaPj+n7u539f+0l8Iaq/GWI8PCreyxM8jBh+xIYnpFmYP9UaF0aYi14onohz4g6/e9PfGV/9i8IcNOnYEr/ArS/Lc0v+YrmACsmvP5A1DsGz0icEEonnX30vv4+1/7auhPmrRvZbgFWFlyR5bek8Eb1kPxaZ7/khvwOvrg4poIYcN3/sL0t/n//TXQr3XOfE2imimyJ+JvEm3QtaKF57Za6IB3ehUNZhCKtZeBj//yv/kq6EeikJDOzn8yS49thTMqHIBu3JM3hYuguoYyMoJVrTuab757+5A0ffk4Ee1UimXnYmyxFSBqPDoOnD2yxGh08euVRPxFNre9rt9689/NTR7LSrxhFaJNOq5nPrHcynbNZXnxa8LKcxUasOTjpYiWfrJv7Q9VuxRSZI2tK2hXMTET2LSc6GqgRyQXnzZbFx+Q6cztis5yHy5v3f+la+Fes/jUwHS27khfy7fQXYhZDLTBK7ekf6ixVo9IPdeHm739/n/1deCcGelxNmuBIEZFWGDJQWYvhZt3JFdLId90VJKv7/1b9+8j9f+D38h6L0abRzeGdzSkjyLSC87O/NGDlCv3xF8pam6A8SBVIL5GH78v/7N7fc7DptiHrsSyWc8v/nOoqXn6l3b9Rc21DFdi1Bg/X6/8C98LTQDodWpVvpKLwLpRMadHOwGZo+kLHp9gB6MjPe6r/j9v/RfEGK+usz5xvXrMlI8qFb4qPOHkF5bes8bqj1L09cUB6JEeJljulvGahaGatXfDOaoUTSjwOQtTbRIyJ6VuMxSHEWUex3kJu6Qcl5R7u8Aah5nPDtLNyJwXYuMZfFQkcwNvadSOSdW2iKfafObU/VbZbtnEcv5kEXU2a83mnbkmb+uSWaG/uOa1alUPK3xbS4T8fU6WG493IWmDQlN5AVZ1yjqfcfMGPZ+qOg/rikP5VTXJTdVVMGIELzd2YfYpaZOLa4HeAVOUd1paTPL3g9g+GlDuWc3KgvlX1I7/BywsqkUqtaEREvgcIriQUM9Nhx8VzH8qJHqrLb7GMWtW6qP8u2+1uXT9BtCUFQ9Tf2ag3nE0e9qBo9lknaxDCfbydqqPZENqR1ototkMm8GciqsHQKlXmmOvhPof7SkuJvhIqkuMrW8g+pIUXizZakN3bP1MgEFGwixYnbkMBPL8TchPauYv5Z18jWZxKQSLNCMxLni5aZr+R5IPCr2YBua45bVNOHw64bsvGbyZiKTVDchuCTQDD31gdzH1rsoNM11QtszqO5d+TcKZocx0TcMg8cN8/uRnPYHKVV2ScDlnmZ0u9iiPG1BB8ygQWtP27eUr7U0RYT5z2MGn9TMXoupR52yoeMmNH2pzFPtTswI8v6D7WzuE1jdFWeFw+8aRj9dsrq71gZ3C5JcUR5APLt9fbrQeB93UsZOy3za0Azk28hfOFYnUt23+b7SsPnedmtffCTKAmwgIFLPybsSMA/+INB7VlEcxtKfupFPNj1wh2FLcecSiTvtWJQItYfVmx61NBx/XdF71rA6jmizTp4WJHhXeyIp0zv3uts+WzI2NyQXmmgh0Js2FzlT74VUe61OIqqRrG6T60AyC6wONdX+WtayLfGKppr0UnScpgm0qcxA+XkjiMbjhLovDNtkFrClpxybThJ2213ALhXJp2pTFhgs4BXZlUOFwPJOTD0UPWVyLZVca0buzysVTS4U/QUobzb9BdVJ4gzMH8ZUe8IiiCcyg1djhe/YBPWOrGj4oWgEdaM3ej5vDNHK06YCfq72RCuYTOS5VPsKNVOb1cvLbfBRQL+v0S5Ct9Am8qGYWlwYrj8XU43Z9GfK0DFPRfayC/Yeve8Zva9QXgoyggEXy2QXVGD+INoUaGRnoSu20JuVzsu8hNPfrrty1G5IKaj7sax2DEzelHdhKoEHKS+l0fFUNKK7JcpH315u+gHwiaHNzEZ7On27JzuYMpBei4ypHhqiOZtfv9wOvyuaqrWNUbCKJpea/DZRnP9yj3okOuf0UlZLqxOB/yTX4RY74Og768FjN7CXJr+BrJ/9Skq1HzCVIrmSj7M4EteQ5FLd6m/0EzC1QXmJBmKd0917DFefj6n25aNOruQ6y2OFdl1/O1/y3f9MzARQBm+EqOfSFB9DcQSr04TyQGR/8URW4asj2QUMPryddTz+tlR76bbTiHcAHRCW9fkv94VJGyDt9PNNXzTg+YvbgP/xj0F5YWkov5bKWbSTQHj9rkDMUVK6q2soE0V8Lffvdlgdp19vaDOpEtWtIDmbXrcQjGD6eko16sDjE6mcXZ0IeLz3RHTh63byjVrklEomNx8rXGzwkaJNFJM3Y9qe9JVehY45oUiuO03+Z/NuPjvoxldaeLFnsvUScITAupOJ6ux8IH8hs2/deSKtZx1/tK1FFBsS8RwLCtxYUSfQ9COyc98xe9UmVdGmhvUWEw2rOzvFFjMJVOlEPrJyT9P2FIvUkEwFss5cHrKP5CWU+7KCQgWq0+0pKVoEqaabSRFHuadpBjKpxFP5ObpbfrpoDdOR+21TqI63NXq6lq11MusYvUZE19W+kf6uw0Y76y2b7SdKsHvl/e3nZ5rQQaOdDIRIU+5LRVt6GUgvPaZQG4F/0DcrvLYHxd3t+40XMjjXSEaXaop9vSmq6D13REvhBLSJ2gDXdSX3WxzfLDdke+mxyxaXW5q+YXWs8Yk4J/SfOYrKdO9BdZxUIe97C9Xe9tgzRSNoxaIhRAaXSp9tosguW9JLcSZxsdrQz/IXDltIqWpxsB041qB2XbS4PKLOhOkcTAdFnzrqqRb7mu65JRMRu7vkNjTbLsU1JJq3tJmhPBBuQNAdY/mpxxT6RkPtJK1giq7o4mSHq3Eh2MR41m5Ke8v9rnpuBvkLL2J+2+lR11vfSoJzcWd77JlaSmwF6KOp9jTL+wEXB5IrTXYmAbzNRNSvHEQzTXoh46883L6+oACj0CuHi4UrfRNkBSofraQizFtJB6Sdo0e5r2/Br5KZLGTihaceiE3V6kTGrl0hJgkLtZnE1l5qwcizq+9tfxu68RgtY7naiwhKsbhr8DHYJYw/aDC16VKgoLuVfDwPnS3Tzf2ukZOmFIB+MYgFoB9LkZSdBNxM0WTy/HQjMXBtGfVHgpjrFtJJIJq1RIsGl2Qbz614LvQgU0vxQbQQe5n0Sv5tPVS0vW1BtF0JeAbkIS7vBtq+EMH6T9aVWCLUrvYkOMazzhLDQZvvgK478741UnF+z8i/mUvOdP0BmSrQZppqJIZ38VQKG3bthJJpIL0WohVAOYo7D7ZAfum6OnhZgTeZBDy7khyUS9Wt68uuHNG8lQGRGeqHMXYpq/L+UzGhbFO7Kf9sMxHt20JWftXh9vWlV+JesS6brt/MBegToP+swSUaFxvipXxw1UBtrFOavqIqt68vuawwiwpVCsd19WhIeu1JZop46roqK0160Qio+UBSF/FCLEmq/Zf6er4QPKEP6FFG08/Jz8REMj9rscuWup+SXXl8pKh7kqoSaxjN0u9s36/n0Lk9kMZwkBFPW9ImEF8su3REn6R2hEjTZgZbgF00QgXb34GYXywEYq4Vqsmpx5b+M4ErJRelrGwe5KSlk1VmrLCl7KKanmJ5f/v60udLCAG0RrWxbIt/2hlJrsQqqU0T4m4xIVyNzhQgVyxe2w5q6VmFKRrwvqOD9Ugn8u9M6btCJEO8cCgnC4i6J1vZNofVg50g/qTYFBPZIqbupez9QApz8ouW5LphcTeRPL2V3aBLuiBkb+8q07OVpGcSg3amI88FKZP9qMDMK9TrQ0wtHnjr1V60knz+bjVkdlZjSlkEmCKiPIgYfSA/O5l5TOFos5h4LqvSJpNCH1Mi5eE79xufL2WsuAAu0Iwihp9I9atdOOLrkno4IJm03S5C4RJDdincluWDm/cbXaw2rGRdRNQjS++5vIvsRYmuWqrDjHimuh1OV+TVBKz5OS4jO+0zg+7JNyviixWqbgmxpfdpIBjNs7+3x+KhoTpu0aVm8KHh9LcW6CZlcT+WVEQq+dWXWzSX2aDuK6m+2hMCVT0KXHzJSL4KgazoRtB43opLrfKS09l60LMg1WaRoh4IljFaQj2Aiy8b6qFUmvQ/Eap7NZZDjXgRaHrcAitHhccW4v/W5gLwiReB2euas7uGtifOr8OfGkYf1rg4JhhFfuEo9s2tLa0pHKaU/nyiiZbiVXb9uYjnj2Kagccnnt4nhoPvNTR9QwlkV56VuQ1+tiuHWdYQAm0/Jl6Kg+3Fl2Omn4uo9xwoR/9nlpPfK1Euoh5o0mvHwppb/aEkV49SuIHsZaOV5/zLEc1I0YwkeIy/F3P4BwVtT1YK6aUwUtVLgbLZyzYMWp9ZcTQo4PyXIi6/GOFyQ0gdgx9FHH+7BCJcrEkuG6qDCLXzVfpBD1VKyVvIYuyyQVWO5Wt9rt7dpxnISn7vp47hH1yiDwXSYK9XhKjP7n7bD7MbXKNRZE8FEj5/Z8T01wbUYzqXEM3hN69xvQSXW+y8ZvFaj93ms2gDulY+MPjpHL2qmH3pgKt3Euo9yd8Of2q48zcmBKupDjOiecP8UXqrPzrgvarkY+99MEM1jslXDpi8FVGPZBs7fN9w/Lcv8L2E4jTHFo7Zw9v72bYfCaqxcajGc/CdCYTA+W/scf2WmLe6FPqPPQffuqbdy5i+ntJ/2rC4E93Kmbo8lt1Hx3LY/2GBWVQs3hxy/is9dJPT5or+U8/+dyc0+xllx61dnUS3oOOycg1CNTOa0Y9WqLLh4o8dcfkFi0ssLgv0P1Kc/M4Ul0XMXEa0DCzuGpTZWYkbI16LXfoo7VxRLr8ypHzb0gwkfz3+oeX4m3Ncaql7Gel5TbW/3o509zpIMHM2jOP84yW6bpm+N+bJn+gJdtLD/g8C49+/pN3LaQaRYErHuzd6u31m0I1mtYCfI4NqHOXDwcZmePBxEKLQQALi7O3B5sBA0H4BO91eqV1/UXJGKgTMCgZ35swve8TPI9ILWaGuTiS9UByv7aiFKWpqceN8uc0faJZ3YtkiLwLlYXdK30B6BvlTSQ3oNnRbSbEXMZWsDqPp9ofeZBoXJ93JuKcaSe6XIEATFwmUWrtAeRjJKf48EM0d3iiSqx3wc2o22D1TeJpjCwhKMHseSM+F3qZrWJ6I2248D0QLT2rUzwE/C8AaD2bV0NwRN1dTwuADhJ1qFKoNFEcCsY7nnnjakiWa4nwHr2cV7UGGagP40JladtzcH0OwZpP7Lo/k0MPUYgmeWkV6+dIAM4p2IBxY1fjOLVhWYr2nguXzcQeR3ouEyVoFTNmSXHPr2QGEngQnVdT4YYoysqKIVsI50I2kPdxejq6dBMD5CptEpNPtwa/npQQ2H4RidzgUVqqSlRVokqvu8Owgxy4a1LzGXC/J8ojsfDtQmou55Ie9R88L/CDDd0Cm3jOPqQV36hIoT3KSiwK7aLDXK7LMkFxsw5vs2UzutWlRywJ/MMSNMoIW2JQpZBy7RFHdGRLNKuJ5g5nV5JkhPdv+lOPHky6IN5hIUIXtOJPVYi0xJppL6qQ+7GGKVqydni8IekC1t/P8Gtkl6NqRPqnweUSIxYhzjZxEyfuojsQhIwWiyxXB9MnOdqyxzrqdQtMSTZf4cR+3JwD+aC6pE1OKSmHx+oD0vNqMZW9h8XT7fSi3Bi4E7KTEDRL5FpykKpqeIrmSE7jyOMOu3M34u2LjJgMCzd/c93SJOxhIf1q+NbtSmFLOUZrDPmZVEymFWdaoNpBMfs6k+vK7/qw/NM+uCL2M5qgvAyx0AOA92Z4nV4HyUDH5UoP7SUQ0D/ReyPZn/kDRHmznXbLnRmqVY7nw1SoBHWjGHndpiM48wRgmn/dEc016psXnqPCsjgzVwXZOt/dcLIHaTGEayTUKR6BDr12xOWXtPdHEs0D/ifgarY4NzXg7D9Z/WtFmljbXnRqiy09bKA47jm0C1T70P1VEi0DveYuuHMVBLPbeW/e7wqUWlwovVLewdiqo9mVAuBTaQznQiArIzsSLqnpkb6kh4udzfC/BZRHozrWisztZ3pcTYtXlb3Ujh5HpZYOuHeVY3VZXXBb4PMInFkXnENK5C8zekLzXmiOrnMHUgfSyAz/vGeEYdC16PidksvL3iUV3Ej9bwPJedxpv5dCmyRS2gvRSmMnFYXzLzVZfTiBNxNOsEaueYDWm8rKr6ZgHybUcstlJKe7SWUI7Tm4zUp+dofIMrAWlxCMsEkLc9DUjUJYg6RgfaVTjhBscWerRbXRieHYGcYzKM4GOtzJ2CTB/pKn2BM5iVwqXanxsMWWLT2QrvXvwFZ6+QGUppKmA1l2QHZJRzF6XGv9gJFU2eGqwK42Z1aDlXfidXWV48hyVJNDLCZ27dlCg2sDkK052ZZEn/SQmuzLo2pG9kGdYD25Dx83PnglDOO6CsYYQGZKJY3kinOmmD3hFfq7RVYtZVOAEEr/bX/jkKSqJUWkKkZVUiA+YBlZ3Oh6xlV1+eqWIp4b0QgZjNZTU1MtNvbhCWSt2R3mCbhzOWLQLzF7TuDzIImQmJp0u1cRTJy7NR/H2Svz5OSqOoWP+qsoRjMY0HVvbyLlEtIL2hUVXLbpz3Gj69vbY22mfGXSbB4eUxwlNrjfyo8U9TTPwNAPBwblxg70WVmvQyMrhumb0kWL1q9tBTRw4lQBj5gHIqQ48Pg5UB4FJbKjHgfTckJ4HtAtk5w3x+RK77HH1pd3ZF7SBpBZdX++J+KU1g0CRCK6t7XvsQmE7PKPykFyVqJAw+eIOZEWpzhZaVgLZtXhAVYe+04AqXO6JrnUnxRJ0nnLC2J2/vruS1JIXagNtLkGrHiqK49Ah8iBkDnstUI+6p4h6hvi6pvfcMXtjp7/Yik9cCOKLpaE40CzvBVxfwCPYgJkaXKZpWo3tW+JpID8X6dtWf5HBdXl3Z4RwVe4ZVve9yKp0QAWFnQp1LawUsVEEq4UY9zK6M0iQCEbT5hZbOlbHluV92Ra7nlxf25oNTzeaB3EiCNwq0wllJc4MHU9Z1466H7M6tBvwjotlcimOYhKjieY1EMsWeLe/EDbZnzDsbZ7h6sgICCcP+ChgKk01tgSVE80bCHRGjdv9qchKwO1ltId9dOOp9xKWJ5LC8nEg9Fuct2JVr5LOukauYlc5o7IUNegT8hQ3kN1WvR9THMnf94lA0fW1pRoaCOmmP1N3R+0/r79eho8tqnE0o4imr+h/aEUqlYXOSFKjBxHxrKEdiSxg935pakLwKK0Fsl42+DSiOBSLpjoXKdnabaQ87ZGcFeiqkTOh+fYL0cPBxiWjHaWo1lMdpRRHAkBqs4DPPcmZEQv6ezHpxGEKR7wItwA1KksJ1hDyhHo/I5qWVAcxi/sal0l/wQaU15LPDSJDdb1os6C86UyBMeJcEkegwfUiFqdyZlQdyKSlnhhhGZsUuxTFlMgf+cz2mUH34/9mjsuF4K5KQxi0ZMOScJETXRtcGogurDzoRILW4tSwOsgEafj9bV3H4qHfrJ6aoaI89ITcEb+wm+KC7IUify7bAd2IbXs9HNHkir3vbz/oydtr7W0ArWiHDt1v4CzBlB39aarJztj4hs0fWPSJpR4q+h9s3+/Fl1NRIuRQDzU+96hhQZjE0Ch8z6MLRXqlOsdTaHoRurFUewq7jUjl+t0eBJFWFaeK8l6Dzlr8PILIE/UamlVEeqG6HLMwaFVrafoiS3u5Xf7yuNN7ityqerMk71e4WQo60B+ULKcZ6UXUeZQpqn258XrMFhUM4OorQ1E6WFg8VJT3a/oHE1KvqMqYNKtZTlPs04Q2F+2iSy1BW5Z3gZe0v4v3DtC15LouvhhRnHrcsCUa1PTzil5Sc3Y9IPq4JxjLvqJNZMW3eAC7ScTw6A5eqQ10fHlH06byjIo3KuK8oZ0m6CcRyxPD6lCTn8uKdHl6O78e3nmE69wiJm+mrE4FUu8S4G7B66cXXC5zqucHLO5quBsTTyX9sLyjbgXJ5ouvy0Q5jLh+J6I4Dh05y6P2K04OZ4SguDo7YnlHsbhnSSZinbN8ECSl81Irf+V18SHctyzvKuq9QNvrqj36LfmwpG01btJn/kD6i2fy+S7vhdvX994j2tzgUs3q2FCNukKegcf1HfG4QnlFu+px+SVFNItILwVMXx7e7HA27d4pPraExLB4kLE6kt1G0LB8KEUYqlFES830kcXH0Htm5QynI+e93JZfuQdAPTDMH2rqsSxEgnUwaMgHFW2rUc8GLO7Jwd6isihnN44XL7fFF0+xhRzKXn4poh7FNGNPSGtolRQAFRb9wlAcrUl+GpdaqrE4naxb+84DfCTKltmjeDNWgg2o15fYAM11il3B6lhR7kVkFzI5rE7V7fz1TvvMoPur/9CPeKf/gh8uTvndn7wOXrHXX1FMUkxp8Y8KmsLS5pbewxmzF33MQvJu/Y/VLa7k+O0rYus4vxrCRynxRFPFIg2JZ4HZm2vknqY4DdiFQjeimR1+7CiOt2fL9NcvOR3MWdQJn354hKoVUdxSmwS7VBRvVbSVoRlowmGNPo/BC9m9/5Fsw19u01+q6e+tGKUVzz/dR5UabQJt7DEri7m/pG0NszxG9VvCygqXtdbkT9QtePHlLwV8v0XZQKgEqJ73KhYrC0Fx73DC5TJn8cDIoaNCAplTZI/tLRnQ1RcDbuDABtTKEEpDstdQmBil4e2Dcz4y+1w/NGBuVj/KKZJzI4L5l+/3bRHsu57HTg32MqLIEvJeSZLWfPHkGT82x0zuS3+q1qhG0Hu60rjDmy9z9sCKxVGn6+090ZSFolbwa2+8z3685K+Wn2d1kAkSb+BZ3VcCgU4CvTenW9dW3OuJAWBPUj3JdYCRojoIfO7hCyLj+P7VA5o+XWGESPGiuaRsql/dngGnn+vTZIp6JJP7Wofthi1fuv+Mt/tnfCfc58N7DtNxV1UAsxIOs/38bKu/63ckP7ouAIrmopVtBy1v3z3n8+PnfLLc4+LhgOU4AhNYAaow4u32zvb1nX85phnc7MxMoWgHQL/h8HDO5/bOebwY8/ShxulAWxtWpUXVGjvX+NeKrf5mr6ciBxvI4sUWN0jQe48u6UU1n1ztUQ8lYEafX3J5lRGdR5gSii9u97d8Y0Q96CDwnSIoGMnZ+0FLOqwoLzOK405TexhYPgzkjw3pVeDyl7dnhavPC0C97QdAdhI+lb8Tpy2fOzxjWmd88FCMU03egnU0lcU8SSlPt2eFyduyWKmHkr6Lp2J82ZqAGdac7s+4XmYUqwFNITvWYLuVaa1w/ZfGypvZjVQtiPSt2hf36jt7M8rW8mKSUo8l99wMJc0aLSXg7v092wD93fbZdj0ommD4wfkJR8cz3t1/wZcGT/h3F38c9UGMm8WgOyH5R0MO377i4tkIGkU11nIy/lJbrFLSpMFfx/iRR41r9oYrFtf7UjK6lBcWjOT+ilNH+kK2n02uJUXwUhtlJalpeP/6kGhccjBa8vrwit9ZvYF5nKCWFpyUfPoXCepegbtMwMvHt1slk48K7g5nfHy5RzSoSY4aDvtLHrOHeWGpV7Ecfq80oYyxdwqaVYTPHFUR31pd+WFLb1ywWiToXouNHL2kZhFlqFnE5TKXvDbIh77fSgokcTTD22oD1/dkBwXFVUbIHDp1aCVVYm5pebEasFgl4lJcaPxBQ3AKO2qoXArJdhBvBh59UKOuYxmEUSAyDqMCZW25LnOqxqIahV4YwmmJrw3psKJaxqS9m4Hf9roVUsvGYgbRzvNkNeIonsu9vlQNBNActajIc2+0HXSrkVh4rxnEGwuUoHg+H/Drdz7hRyuNdh1ouoOSF6eStjkZbwe14kBTj+mqEWVCWmuiZ1VKlUe8mA3EobgF32lC23sVodV86fjFVn/lkdpUy4WuNNpHAaxn2cT4oPh0todbWFQrVVoEhT1Z4RrD28fn2/d7GGiGDl1pmlGX3slboqSlaiyls1wuc5ppF4RGtRQOHBS0fcv9HSh63RenA5B7DGsduAksq5jEtpTTBGUgmhpWzQClA+3Q0+aK+8eT7fsdi2beR11l4pqXrMBMLAwr4u6gth5CeqkIV7IarkbqVvqoPJL7fXlxQCIvu6lkLF/NZadIo/GNpqoMJnE0ey1RbxsgXO0JB1t5NiXcwQaIPMErVnVEXUWE1EFpN9+qyltCrNHRzbex5hXDTarAG9kRns973B3PuJhL/r4diJbb1IryIOATT6Rvc79fbp8JvPn9p/f4T56+g1GB0/6ch9k1+2bJ4WDZPXyFShx+4LArxWyZku0VUtJ37G4ts+vLlNnzgZQJ9lr6/ZJ+UtMO1/WvnX9RIoJmKZuVPytO1K2g9uRizI/Pj1EKRv2So3xJz9bkw1KKDTyEfkszdsRTRVta1LiWMt5Dfyu5v5qlPJ2Jb0ev2xJntmE4WEn5qldEWYPba8XltrJEvRpaTXPQ3jKSpNasFt1HYh1R5PBB+gixx6hAltWovZpgQUeOwcESbQP+bnnr7ahKU0xTySfFHq0DrdNEcYtKJVimaYMa1WIhEjt6ewVKB9K7S7Tdgco7hatk8ITUgwkEr4msI8tqEtuSJTWh7/CJx8aO8eGCOGo5PJqRxjcD3xtZNftovU1E3peC1DS8mZ6RJI0UxfS9TBrHJdlewdsPXtD4nfx1dz7Q5FJO6qKb9986zRf6T3C5l2qrXD64pg/1cUv+zmRX8bSB3buky6dHXTmpDiSm5Y3snDypcT1PfeDwPYfarzg+mvHO688YRDu5GaQ/nwTaocNb6U/pQBY13Esm9JMKlTmxrUkdKm8Z9Ereuf+Cg2TH76+SMuxgA37YylZWB6z1WOPYiwuyuMEMGkidbIpSRxw7Xr93wX66bfWwBqwHLROigLYBDT4o7vUmUmeuAu5BScicHI6ZwOi1Cf14+35d2hUBZVINFkz3MyJQjWJ/sJRUZESXk5WzlXoYWLzVwk56wRug+15U3oL1KAU6dhjrSW1LGjcSXBOPiTz9cYExnuHJAm22x7KPEaA6Mh5CN+krE4iTlixuUNpDUPL3+i3RfikLoXFBlLQvXVvnKNGXVKPrwPcoqKuI1/pXm1U5yDOpDrwA7x9NuVrtlMvttFcQ81ftVXvVXrVfYHuFdnzVXrVX7VX7BbZXQfdVe9VetVftF9heBd1X7VV71V61X2D7TPXCe//PPxN+6fQJw6hk0cZ8NDvg0w+OGH/fMvqgoTiwglA81R2tR3XJ57AhIv3oz97AfN/9D/+V8MXTZwxsReEiPpnv8eSDQ/b+wLD3k5ryIOooPRq7Ch3FSzSx0QJQ8L1/46a/L/2//uXw+t4V/aiidHYDWR/9yDD4tKXYF5j38q4innQ62KGc2idXUkXz43/5pr/f+I//xfD2+Jy+rWm84clqxA8/ukP/+wmDT73oXkeK1b1ANJUy5XrsceOW6EzKgn/6p25Azb/+H/2p8Lm9M4a2ogmaJ6sxP/jkDr3vpfSeCpSm6cHikSg3fBSkxr7fEr2IUB5++r+86e+X/99/Onz56BmjqKD1hk9We3zvo7v0vp+SvQibg5P563Iw42MBCoXEE11aCPD+v/gStP3f/9fD6emEg2yFD4qLVY/zj/cY/tSSXAfqgQjvZ2+KxMp3LqroQNwViKyv791/6Wuh3vcCMW8VdqHJnyqiedg425oqcPV5KQXWNRslQ9Q5If/wX715F7/2j3811AMpA9XNDU1OtwFdB2zh0JVj+mYuEqZOI6yCAJiqkebrf/l/senvnT8j1+czB05hF4bshUgVo6UU19gycPar9uZ0vnOXTiaCG3z5+t77U18L1b5oc3Ur7y9/KuwPWwpsPZq3PP+NVKRna/dhIxK3enC7v2YoVWe6Fgladh6IVoFo6YRlsWqZfC5HOwHNBCPkN+UD1Vjz+//7lwwD/k//RsgOV6RxQ1lHFNNUqs9eCN0umBuot26699u5C5tKWNgvQ8wf/Tt/PgyOFwzTigAbw4DeY03vmRepoIf5GzL21lB9nwhztxl5PvjNm/fx6N/6N0I0rkizGu81ZRnBs5T0TJNeho6hDddf8OhK37BXbMBOZez97J+/Gctv/6tfDc2+HNDiFGplyJ9qorkgWNfj4uzXNKaSQ3ofhQ4qL3UGayj6l/+Zr4VqLMUjygsZLjsTdK0UWIUOKG83EHndKSZMFajHih/8a/9FIeZP+vzW5duiHe2g2ZjA8m4gf6HpP61ZHUtwWOsf27zDNsZd0cJLrXzS5xvnb97INRoFNrC8C/m5JX9WsToVlsK6P5ewsRZvdnS1iw9G/H4+AOvl+ryC1LG8r8nPNMNPamYPY0zZlSiqbhC0agNEfrm9+Okhz+MD+UXo/hcFqsNA7xn0nje4JMJ2mkyxQVeooqtqSrb7O//RIS/yfXl+Qf4ukafcD+TPFL2nNbNH8cYWGrrBvzIdyHy7v8n7+/zn50NM4ggegtPo2LG640kvFP3HLYv7dhNwUWzem8vCrdJJ+yLmudvjst/De42vDWbUMH9DEf2+ZvhJy/LUSKFJ9xGsg1G9t82sXdtpq0xcKJpEM7/XEqYxx78t4Of5gxtZ3brIox4HimMpQX65iWyHjfZZOZikClNqTr7piJ6WFHd6IhNqJdi2mYDuldMbZ451000n/1GACbQDx/zAo6eW429A/qxi/lq6CbimknuuR4HFULi4LzeXdqflfSdgq56muudRC8ud31KkL1YsHuWCYHRSORmUSJtEZrTdn+/Gk0sDbR5oBorF6x6z0px83ZCelRQnUnSEV7SJkO2qfXnHu8URdmIoyCmzdnOKX79dUB3EAuJ+Ku/DdWoE1ch4k+9tp0ILIPIsZhlNY1Eq0DaG6NGS2V5CPIvoPXPMHlpc6uXbd11VXhQ2qoit91FqmmmCa0XX7xuNuVOy7EdEi4jec8finkE3qrse0Q2G2NPsh1tyVFMrGocMBAUh8SzfbVBzy+G3NL1nDbOHEaYUSaBuEELYyNOMty3Ym74oL9xep85pNcWbDj2NOPltSK9a5g9i2ixgapHDtRm0PYkppuQz22cGXTvXpB+ZDY5wrb1MpjJzLE8jqrHMOsmlELmKDmK+q4EFmb3TCyszT9sxQb1Ap5WDxf1EmLi5gKSTmWd5bKhH3SphR5KVXGmij7WshMrQyYLMxqJj9jCm6pikaXd95Z7ueJpQ7UjG4okmmgvwe91fMLISUwEmb0RU+yLmTy4VyVRKoZu+FHD4vZ3+Zproie4gO2uNqBG8ZYDJW7GUUieB9FLq/qt9TTMAPNTRz7nfT2JMGW7sWowAggAmb0VU+zLY0wtZxRWHwgTWLTTD7evLnyvMxxG6jaQ/zUaHCTB7ZEX8H+isd6S/ttexWF8qfjn5RkMwCpDdT9CKup9IyWUMk7cFYm6XL0HM7wnEPJ6EW+yFo2+v8Y10ZbUGl1uBmBvF7O2BaLcLwXF6q6hG8u7Ta38raBx9VwhZNxNHoOlZkThZxdUXMqqxAE3SC1m9rk7EdiiZcOv6Tn+nlpJe1ZWNW2h6svKp+4qLX+pTHkh/yZVczOpUYSqxkfHRTn/fqIW65QMulnt0qSZoIfZN3ulRDTXKBZJpB84eyw4uu/TCOn6pjd4HW2qUjzcwbpfIva/fR7kvuvjkSu63OBLIfDxVtwH635MqT9WR1eNYZFURUO5DcWwpD8RxIp6Ivro4DgSvSM/0LTbE8Kda3FRagSr5SLCTKohM6/KLhmpfsJjxtUbXUB0qqA3Jpb6Fnjz8btsxD4S3EJSiySN8h3e9fjumHkqRSHrR1RacKtJzTTxjiyNy+rtVN+a6CcFK5WmTK+ohFAcJzVBg7fFE5JGrE3m3+bPbJei77TODbv9TiOee9NKhXWB5Ik4CxYEEnGjlCbNAeiWzS5vJRfko4Hvg7m5r/fJnimTqSa8EGbg6kaqU1ZEmvZZtaDLzZJfy99tU0fY6jWAScPe2p5D8uUDA47lAx+u+ALiLrIOOX3fQcSW6wDYRNoNL5Xrd/e3++h8LKNwWwth0sRIucC7b5PzCY0u9mQB8JBDzphfwqWf0cLrTXwcdXwqissmEcdvmEhCzS4+pOqcAHTZ2Qm23Ch+9Ntnqr/dYHDfihe+CmqY8gKJzxsguPLYrj1z357udQjMIZA/nW/0NHjsIYFdeiGOZZnmiaXsymHrPHHFHYvOxWOj4SLZmLgu405v3u4GEV442j2gGhnJP41KpJus/cdTzjrXaffzrrZ+PoBhtjz29qgXXVzX4JML3Y6qxBMns0mFKR9QztKnGJeIY0HvhMIUXiM7B9owaX9f42GBWDS6PaHuGciyuAPE0MPi0JZ5LKafv/OVsAfYydJCj7aBhKk8wimhW0wxjqp5lcVdSVtEs0H/uMJUUB6wdV2whEw4KFgfb96ta+X07r1G9iNVxzOpE7iG98iQTJzCjRHjWEhzDZkVf7VhZpdddwJq0+EixOo6o9m4WIOmVRzlZMPlY4QyI35cEwPJg+36zM/l1VEiALw8U5ZFA0eOZJn8muwHRtwaxmlIQzQTW0xy1t67PW4UtffcOBSTlo4BdKnqPBbbuoxuIuW4khVHtB/zxdmxJrhpcZjArgei3uaYaGVwqnJfhxy31UG/GsMCDuh2Nheql+40mJT626Imj7cfUY0s51ris+y5eOFwHbmpzmXSTCSQTjzeK8vAPzSwAfye04wL6T2qi6xJVNeh6gEs09dCIcWFfo0IgvWqJ5g3VQQKYbhulmO/tDPx5oPe0IZpVqMbh4wHRSoJbtPA0PcndxHPJYRVHkax4ryTdMB9tV1skU0923qArWZqp0xRTS3/J3GNqj2kUyURoQsWhFcD5M6EEzfa3bz+derLzukMTGsqDCFtJ3iydekwlVLNoGTZwGLuA9EJ4vsXJzvXNPNlZja5afGIpjmNs2V3frPuIMqHn6yZQjbTY15xLXru8u91fOvFkZxW6bASefTcjWimaTJPMbuDb6dSha7m+9GLNsNDUp9v3m1y3RFclelWBNVSnfUxlZAVZyqrLR4H8hYBfiuMIEJPQak/RvARZt+dzVOsgBHQ/x8cDBh3RLZk0mGWDj3Ly5w0+1tQDTdto0itH09OsTrcHqr6cySrSGjTgshxbeLKzVoDVrSPcGxHNWlwmVirrvKfLLOFoe+zZyyW4Dsw+yGizPoMnLaoNRAvhzja9nOysEY5HpjGNJpk4qpFhdXf7+uKzhUDWQyDynjbvsf/jBl15okWDaj0u7hOduy53rYRtfNnS9gyLBzvfxuVKANwatFYoHzP4tMUWnviyQLmAj/vEMzYpGvluxMFicX8HoH9RY5ZyHQIiUmRXsqo3VZcCTNRmAdTmhnIl771NFas720G396LBzhuhd6UW7VKSa7mnZOpJZp5yT6BOQXXjbSS2Ti6BZsd5IztvsIUDH/CpYXEvJlrIAiueeaKlpzi86a8aS/mbqWT7X51sdUd0sSDq3ofNEzjKGX0oE5muPXbV4tKU3rNaVsFDg24N8dxT9zWruzd9mYsZpgPo61mCt2PGP5OFSXxdo4uW6jijV8sE3/QEiWqL0LmM3MaUbo3Fz/rD0fsr7MUctSohiYmuVkRaM3lrTHkA5d0W5RSjH8Sc/s0FCeCStMMLmk3FyboNPq2IzleoqibkCfG1eBGd/UrO9E1NeezQlWL8I8vhd+ZduiAiKgIu63gCL7Vk6rDzClU5fB6RXklZ6tmvZEze0TRjce/c/33L4bdnqJDTZpbswhOUvlXhZlceVXvMqgaVkD+XyeHs1wacv2aox5LTHv3AcPzNOXYZ401MvPD4yNwyf4wWTrBvpVjOpJcNZtVw/qt9Jp8z1IcOTMvwhxEnX19hlwZChC3lft1O1U08E4ScXpb4QUp6XqFrx/M/PuTqC4b2uAEcw+/G3PmtObaIUD6WDyk3tDvXp1svkOu6wScWu2wwRcv0N3qs7gTccU2oA/vfjDn++rQLHhHx3OMyKbFeN7fXE8B60xISg100RNPA1RdyLt9LaUYJLgkc/H7M4bem6DqjHlvSi5JgU/A7EPPDkThaWIMbJOhKrICaUcz5b+xTDxQug9EHnuGPJjT7OaZsMdcrwvHgdkl2nqBXlewArCae1AKmfmfA1Xsx5aHkUsc/jDn+3Qm2n6DriOzZEpcMNt5l6xa0RtWC4VQukD1eoquG+bt7kjY6UtTDwOh9y/FvXRNSi65TssdzVg+HwC4rWaEaCfgqieh/vETPClZv7vPij426A+DA6H04/L0JwWraYYKdVVSHGX63u8YLtL2qIU3IP55B03L1dx0xf09THXq8hb3vW07+1qVA2dse8axzlNjZInsjD1QXkuccfW8CGp79iX2mb2lQsgMcfggH37qm2c+5fichvQ4CENppwWoILbqWFfDe92bQep7//ftcvafwiSIAo/cVR79zTXOYM309IV54pm/cDmo+j9GLStxBlCK5EHbE9ReHzB9EVIcRPgocfTPh4HfOMId9CAnpWUV4kG0B+d3+EF3WqKoBo0nOVxACs3dGXL/dox4CGsY/9ux96wK739sA76ujFN3+EYKuvVqC1pBIAqU+6uESCVbj9z3lpUDMg4H52yNB4HkwpfBw9XS7e105/v/tvVmPZUuW5/Uzsz2f2Wf3mO/NiDvkVFmZNWRmzd2oHvp78A0QreIBELRASF2lFvCERIN4AfGAeEKNCgmQ6KpSZVZX1pTTnSPCw6fjZz57NDMe1nb3OO7J5aGlfPIlXd24iuvme7C9zGwNv7/rRqjYoBpHvh9ffxzdL66g3grwzN/tSqa6kfGiuSa43BxPNZ6mF6Mji24cxVaEC+V42PscmrOAJpMjy+LdnsDJC8lixjMlGf23LFxJH7azAWZVkT/o4HXUHpHBFLoNlsP0/S7xzBLmksmMLz3zs81AWLBqcJER9u26pnjcQXUDbKzITiFYBy1SECYvUtKJJSgkvBFPNOdnm5nDcFZCoPFJiM5rir3sOsnY+xyqaSTtygamLzqiE5eLukR8qVlcbLYnmnmFDw0+S1C1pRpENJmcVPofQXUWt8hOz/pRF9UIAD5YWeKJJhrfTC45HQSoQAt/tB9jWxkTycJLAshGnmo7RTdOdqaLkjg0JLcB8FkEnUh2G0WNC2NcbK7l1sPVFZZQYXsJpmjQRYNaFwSzgGixGfTTpThwvEcvCuxeT34HAh3Xteh0uQCqnUzCF+sGtSpILmLiy81np4oSZR00Fj1dYrd74rhqT++VRVsjUuEGqr0OwbIiWDWo5ZrkPCQeb55iVNmqWjQOPVniBhk+jVBejuKmVO0pzlPuZkSTApM36EVBZDTx9JY01tlckIVVjSpr7M4A15cW8sGnjmIiGFMXQf6oTzivRelkXpEkhvhy8/lln03BedS6wKwNdtil2haozhW3+gqqkz/qEawt0cKTnlfYMCI/3by+9POpnGSqGtNYXD+jGSa4uJW8TxVBAS7wlEddgmVNOrFE04aqq6lGmxB4vWxVRrRCLXPcsCPcaaD30hEudRvP9jS7PXRlCVaWYF6QjAOSt6DyetnCfrzcr4/buaJEO1A3wtJuEkWz1REFEcBMVsRaEU++1K1+udPlbIzqd3HDbrsyyU2VQ6h6UnpR9zyrxxZdG+KZJ71orsMLbrRJAgqPJ8IfHSTQJtFcKKSmJhNlzroHyyeewc80ycSRndSgBJrRDDfjQvHLCT6Lsd0YFwrg2oWi8HqFb2tSL6KHXhHPIT1vUM6T72rqwS2hxs8u8FmCywTGrWsRyLyOKyEObflYYrHhWrX6YZpyS6F7mxCO6OVYxuvEEGjJ0F8F5ttqCjSsHlmCtcEtFPGlCBMWWwrTvyW+9/IMeh18FuNDg64dLpa4lwg7tiKPew6TSwgonjStvplC3RrPnIzx3QwfRxAF6FpCCj4QiDlaMrFeQ7g21+R+r6EcaJr0ZiduzqcQhQLMDgNZYI1AhZZPW4C6ExBKkxrRlpvVuDSk3A7vJJaC87nwVpVC1Q1BPxYQvJUYa5NIsie5lOOnWVdylE4imkHaJvVuzeUkub5GU1psLEmcxWOBjl/RqZrUYAqLWdX4NBLI9W3o+JszSGJUmgpovXH4SFi/k68ElDtS/hLORfpJ2wCzrPBxRLGf3sX/vTkDY1BJcg1Fv7Kyr7CpavGaChdpXBLKycJoqq0EG23erz8+hThGdTLh31oLCGB78Uhd50nwkJ2aVi1FTin5TnCn8sh/cSyQ9TTFR6GwY5G5MfvqzXdkFoZwZUgcZCcS+qu76lqKa2O8LENliYTK2qSpyaVE0XYsutBEc016GWBKSzyWk0XdVXdOlZyNUXEkcyYUfjBJgHIwe0dT92UuRzNF3Q2klHHV4JKAfCfc5LBcTGQsY2TT2bjr+52/q6g7khhPzhU+0lDJ/BPg/d25ctu+9K/9g33K/Y6Q70MJGC+PDNXQXQNJXL8RyhCtdEqsCZcN3WPH+tc3KRd2p081jHGRbjO/kkSrBlLOVOwobM8STozorMUywaJpyeAzw+wWHs4NMhkv1q16p6XsBwKzCdrSkcjJDllJHDeaK8yyoXtsmX5988W5YVcceKSxsTi1cigvrO5KuQqxIzgL0ZXIzeMDollD76Vl8a1bZUCDDrYb40NN3ZFryLcC6r6n2pL6WRVb9HkkEjtbGuUCwrmMt/72Lccx7LeSJpqmE+ADxWo/oNjyNKMWehM6GIvgYLGlUT4gXFp5H9++9X77XZqtTpsplx35es+wPnS4foOOLdYp1EXUJiE0qACTO5KJY/Z2Rrpp8EkEgaHpJ+iywW7H5PsCcWm6AlSpakOxZQhjqdbQkW5jjrcm32yJSmKUVvgsIZwU2Cyk3JfVr+619eC5otyWXYhZV5CGdx0uyC4yDPBGY4cZqnbUOwnrfUn2NV2Hjzw4IxU5QUQ006gmRFl/57itkhiVZfgskd1ObSm3E5aHUu7njDgOZQ11V96D1wqVhjL3b5+4jYEgkEW6n4ITcPZqP5DSsJHUcCcXmqpnRFRAAd3oNr8cAD3o43sdbD/FdkJ0aSn2YlaHsgA2HeFkB7OAqifzTlupOjEt9nJjvK0RbtDFpaHILlWWYiek7nnCqcFGHh95qXmNoO61cHoVSDXRLeFR1e3AoIdLI1wagvPk+zH5gQLtBMzTb3DrUFRPIgktmEKqN/K92zesIEvxcUgzzDCrknoQsnygabqeZtDQDMDrgPV+SNgzBCuHroNrufWbueIgDCEMcN0EHDRZSL4lAgx+4LEKbKpY78fEoQgAXFWc3A5t3bYvdbov/8lWW5ricZHHdSzxcIldxOhFgEstam2IplroQ7HogiknoGD9yeaR7PXv9XERVG0RuO03hIMcO03Qay2r21oTX7YlKx7mYYA+Ekh4egs6/ua3+zgjH2A1dPgIwuEatw6h1kIvWgsg3cZQDkVOQ5cBxS6E482Zf/rdIT5QlAOoBx6bOhhU+EqjIke/n7Nax4SLiGogu/xix2BKQ9X3hC83jzxnvznCGyiHLZS6bzH9HFsEmKRh1F8zXyXoWSJOpAP5rsFUhmrgUS83tZZOf28XZwTZV2473HZNdziFdUwaNez0VlwsOuhZStOBcluR70rCoNj2+NNb1/dbu1Jz21fk+x67U7G1M2bgFd4rdrorjqd9qjcxVR/8UFFuG0Ac89tWfPgQ5T02Nlx+EFLseOqeg35Jb7jmcW/J8bSPezNgdYgkMea6BagjTvFt29vCAy4JWD7tiiJDIJn1xfMGlTawDAk+16z2DfmWIbsIBSS9q+84yfprT0QlthcyeRFSbstC6rKGcFjw7u6Ey3XK6nSH9b5iva8JF+JAVw9uyuiurPr6U6nU6IVcvhdR7LZ0NeNxiSXeylGNQV2kLI80utYERUCdybMONiFjNO8/luRyGjB7llzDsFUj2XpvPKZQxGPIdzTFSJFMDE3yi7Pls+8/kXr3rmb1QJy27dlWpsjLt1FpgqVU9BRbUm3itbwPvXloY/rdh9SpaA7KydRTbVshnmlP1ispixC7TJm/AybXhCuR/cl3/R2A/vrbT6TCoK8F2j7w2EGDSmqybsnhYM40T5mOt1k+AVCYQhp8qpEA09+28pvPhALWD7j8wFD3M+qhRWUFYdyw31szXyc0lz3W+6LZZ0ojEPaH0nRzZfb9J7hAYxPD/KmUndZdL7vl/TUHowWnl33cLGPxSLPeiQlXQrpbPhJ635fZl5eM/e4ZB50FhQ346SeH4BTb/RUXXlGvDAePL1mVEctBytHelNcvt9Erg4sc6eugBRTfWPr753xleMFlmfHTTw/BKrb6a87KAD2N6b6zoChDlllC72DB4qSHzmUidL+4Cwkvv7tg1FszSnJ+/maPJg/YHi6ZmIzyIuXJ4ZjaGs4GPeJOwXzcleSPgug4vEFKtjb7rYLdrQV7ccHZsktehry/f8bHl9ssxxlf33sDwF9FD+lkBZezDk55nPa4T7o0O5szdfo7BXvbc0ZhzcWyg/OKb+4f8+PxHpNJl1/b/4LSBvxF+IROUnIx6QGgjcV/3sHub4YDZr9TsL89YyeseTPro5TnNw6/4KfTPS4WHX7/4GccD4f8MHpIPyk5Hg+onUYbizvOMIebYOrxr1nCQUknK3HTDAXsd5d0w5KTVZ/f3/0Zf5cc8bfa001Kzic9WTBii1sFdHdvPMf0K9L4UI5UK4mk8Frjdiy//+jnDIKcf1V+wNmeRVUKFzt0pdGVAKX33hlvXFv+sCcdV5kkaLILR9mXMMmL58cs64iTyR51V2phqz6Uo4BwKRnk5W9u3uvlewkuktAYXkQP665Hd2u+8eCY740+4f8eP+dHD/tUa4M3XtCltdSORk82y+2mz2O8kgVLW7lfEIew83DKs+GYL+YjTvcimkzjEgmvmEJii/mzW+/23bSt0b0SUxQgvAtgPWwwnRp7GVPsSbOKjRTrIynJMiXMn2+uCuOvim6aTSXEEc0URSwK3eGg5NnemLNll3mcUilwy5BVrdClIlhpysPNuXzxDUXTLlJ6KU0LqtMQpzVpXPGVrQuOlwPeWMX21pLQWE4uBrh1gJkFNLfKM8+/GcpGZNhAo1BOEfYqkrRiK8v5xvA1b5IBP3iciipKVlA1Afk6xl1GpE8338flh7GIgO62HYsrRdNRpJ2Svf6Sr/QveJ0O+FkZstwW532FHsVBtHVzffNnmZwURwLQD5YSznK9mj945yNyGzKedyi3pBPPRfL7TKloMsfu+5us5Nv2pU73oLPg3e45f/ryPY4eXvJieM6H3WP+V77Jm+OM2SrFe4VfB7z+bIcXz4/5+GQX7aFo1J1mhp1sxV6y4O/OD9g9mPHOcMzXesf8z9W3KF7GLBcJ3il0oVm+7LP/7pizswG+URTbd2WhX+yf8073gr+fHvL88IzDdM6z7II/PXmfl8cdzhddjHbUs5jJIuLJ03MulpKcWtX6znjvPTjlRf+MWZ3yK1uvOIymPAov+Zf++/z9aZePpjskQUO+iCmWMc8fnTIpZDd/vhvfkYV+78EpH/RPeFMM+I3tz3iaXPBudMp/3fwBl6d9fjrbI1CO9TxhNUt48VjGM9pxuh+iw81F4d2Dc742PObj5S6/8+hjXmQnfD15yX/vvs/xeMCPFwesm4jZLGM2y/j642NO112SoOGV00TxZgy7u78UtYnpFnu7c7bSNV8fHkuL9nzEq3LEsolZL2OWlxkvnp4wKxN2shWnyx7d+Gb7UmzLR4nz6HaldwFo5ZnVKTvhkmURywdmASPAZ7VXkUQN39x5vXFtVV9qcFWrvXZlysPJosdXd084X++3cXtpdtGNgNRt4tnd2lR6yPcFOo5rOwmVx8ceoz3LOqb2hkUdQ60xuaYZNfjQEx8U2Ebz/i2IeTmS05i6QsWqtm04FMax8wLOJnAoa655ss1uBU6xs795fU0KNtI3nWXqRulBrQ3BoMDNZfteDT1mLY0bNpETkr8VM61G0vKs10b+HDtUpxGJntpQ2oDFKsFPo2tHXE9jbGaxXU3Q3XS69dBhtkpcaXBd8LGl289JwoaiDjjPu8zyBFcbLj7bYvvJhKxTUkcNVRKyt7XpJItdh9ov0Q68l9BlEFqSsGFVRbwuhpyue1ircfOA3DjCwHK0M+U06LHX34TUrw9E4BarULG06vrQk0Q1tTWUzjArE2xuUKWGXgPas787o7GG7exmA1H1bxRGrk84Wrr6Vk1EamrqMhCl8pLr7tH6oCbplfzhgx/zZfalvRM/O9/lLy+eEAWWJ70Jj9NLBiZnL1vgI4/3il5WEPQrzMJwtuyyM1qAB71dQbzpND4+2+HPT5+igIPugkfphIHJOegtpK3WKZJOhR9VBCvNIo/Z3lmAV9S7zZ2ulrNVl1froUCou2Mep5fsBAsedqe4xOE9PBjMSHfWmLlhlie8sy07qqBfbWh8gSgIXFYZkW54HI95Hp+wG8x5p3sBkcM6zfPBOUeHE1gGLOuI3z74mCysSQfFnRPypEh5XQwZRjlPkwteRCds6zXPOmNMKkDz9wanHB1MUOuAvAn53cOPGMQFveGaG7kEscs84/P1Ft2w5Fl6ztPogp4ueJxOSJJaxuud8mh/gluF5E3I9/Y+ZRAVHG7P0LeI9mUZcFl0MNqz11myFa8JlWUUrtlK12g8D7Mpu9uL6wXqO7sv2YpXPBuK5MuVXbWwSsOIw8Zt27HypKbmRfKGNBJ4u+06VGJJd9fsb835lcPXmFv3imorCXrC87Ct+q/XkBch3x1+Isk51TaUtG3D+QOL/nAhH/Itc4GEyWy/kRZV4zGBZRjnPIku2E5WqKyhGTTopCEd5RwM5/zq45fsJrcE8PzNeNXgLSi6kg99O17JNVglDrzb4GOHiS1PH5/zoLfZSONV23bcl3+uHK4zctTvZaWA7stWmjz0NJk0IhQP6zsbCF3K73axw4/kW9SBQ4cObTxJUJOmFT5yIlfTSDhOBY7u/pIo3nS6qpESLpwi7JcEkSUOLJ2oIjT2ei5EnQo9rLBO0U9l97i/O6MT3RJdU1zP7zBu0IFHKU8W1nTjkl5QkgY1g/6acFASBpaD3oI4aHjv4Iw02Lw+r6X1l8DjuvY6mWW0ZyddsRWt6YYVQSbvIYgbev2cQVzwbDhmJ1ltjNWkUjNc9WVOu3ZDpZXnRee0LZ/01COHj+V39rdWvLd3hv3/aUm7h5jf273d2739Eu0e7Xhv93Zv9/ZLtHune2/3dm/39ku0e6d7b/d2b/f2S7QvrV548t/8F76zuyYOa6omYDVPiD6P6bxCSDuxdFlNXhiBjHOjFhqsBZf2k//kBub77v/4z/zT/TG9sGDdRJwuesw+G9L/WNP/vKFu20bnTzXB6oahaxNPNL8LRf/K//Sf+kEvpxNVFE3A5TzDf96h+7mic2rxGuqOZvFUES4kIVF3JfsbTRRN5vn5f3ADQv7e//7v+3cGF/SvIOurER99uk/3JxH9L1pV4i3F4pl0toDwVptRQ3QW4EL4+N+7Ge83/tU/9c/6l/TCgsoFvFoN+ejTfXr/ENF75aQzbkuzfCKlP1634w0syWmAC/0GFP07/9sf+XeGYwZhfme87mt3nXhaPUIYvablgnYd8bm5M94H/8t/5N/dGbOfLGi8vh6v+9OI7MRfd0AtnzpMLszfJpMmguhCIB9XIOn3/8M/8eWWw2U3kPDsjWAbg0ISXqbyjD8015UGVxLo4fIu1PtX/90/9nVX6qtvIOa+bQ33hAtp/Z58JQEttCjlpMMqzD1lT/ODf3lzrx/+0Z/4uuexLU85WCmSC6kfDXJ/3S49/mp0DaS+agCK5p66o/ibf3Fzfc/+xT/3flQTJDXOGuwqIH4TEs2F/hUthclw8l0l5VW+pe8FCOow2oSEP/9nf+yrbQuRg0ZjVpr0RBMuBTpuSmkPP/2OtLIF6zbRFkBQQJ1tfmsf/pFA1l0oGM5wqYTKV0B60aBrgcBcfpgJP7iSxghvQDcCX3obiv70f/jP/Pb2kn5SYJ3mYtkh/7xH/yNN99hKO3asWD5QhCuuVYht5AmX0m78k//4rfH+y3/ufb8WZWynafKA6CQkPVXEU39dPjd70QLvvSBQ0RBNZLwr6DjAV/7zP/b10EryvlHo3JCcauKp3LOphUh48U3VMpMV3kg3YzQTjsfV9X31n/6JrwYyV1SjCApFciaALd1AUDp06bn4RigA/ZLrBotwKSzkt8UWbtuXU8YuA1auwyrwUt/qoTxocFFAdqHI3pQsH8boRjJ9yoqjtJG0at5mXvIy5aP5oUwsh3Sp9BqWj0KyM03npGLxUPr9bdtX4ULfOl9/p3XSvU656MRcBFIKhFewW7PQIdm5kIyqbiyA5ugGrO4CT90iKN+2Nz/Z43W6LZnVq7+KHMWep/cSstOKchCLykMrMe6NR9WCpnO3qjXO/36X02QHrz3qKpseOsptT++lJz2tKHvJtYO8SnrqQmMjf6d1cvzTbc6zkYB/fPv8Ike+5+keQ/e4YvYsxqzVNfsYJbD4Jrk7XvFFj7+dpfwkrQVi3iiCrGH12JCea3qvGmZPQsy67RhzoJzCe089cJtgat8+i8TinaIJPIsDC7OQ/T9TdN5UzB/HkrD24kivIObFjhds31tmIynJuq7NdjB7AcFas/dDRzgryQ8ybCzqFspKfW45asuPbkHMTS4LrjdgtcyBYt8TLDU7fw3Jacn6gag8KCcKAE2i2iYYdae4P77UFDqkvio9dIrqSUk9CUnPFdlJxeydmCCXzL8phepVDR3FvkWXtwA6AahaC/Q7dNieZ7VdwyJg7y8UnVcliydJq1QhTscF8nxKdbeZwbbfnteIVH2syB84zFJz8Oea3kcrVk+6gp1sZJ7YqK2z9uoOD1tdRlzkQy4iKcvCKug3LJ6GpGN18+3am+9eEKhSYeE2+3II1opGBdTNW8/vqKLuhmz/taJzblk8EiC/bm4A9HXfU424Y7oWCXsCB0YJs2HXsp6F7PzAkF5YFg+lPldZ4Qi7WFEPnTQ9vAWpv+Jo20xA/barKB44zNyw+0PBZa6OpN1XN28B+QeeYpd/O4h5/2MwlbTkatuuXrESwLeCxZOYcijF3sml7GjWOxrVCE6w3NocL3ujCD8y6MqgG3/NLg3XsnuZP4kphy3z89wTrQSaXfVAWyiHt6hln2iCvCXBN1KyYyNDUEpL3uxZLEwEKwzRIPcUW5omlY+guMU0Tc404ULA2FeT2IVcM0un78aiTOAhHgu6USDhV51Dmx9SNNNEX0CwElaw1wpnRNVAW5i9k4iTQMDK8dyTbwsSTzpvNq8vnmiiz9rrq64mhyHIxQlP34kpt9U1ZCZa3EDMcVCNbjWrnGiCTyJMFV5D1q+6oABmz0LKoTja7FTuI98XZrGuFfVbzSV7f1W3rd2B1EgqRd2JBKoSwOR5TNUXvkZy4UXm6VATTRTRHGyy6XR3/83qpr9fKaFqdQRijoL5u13qTBEtBWLuDaw6hmjeQr5v7TN2/q68huVcQdbrrsEFrh0vpexrTCF8aFN71ruaeKKIFv6avXFlw587+DnoRlCXXkOdhS0ZD8ZfSyhHXEPRTQHFrkLXIiFzGxK+89eyu9NWnJALFU0ctJxoOPt2RjWSXV88kfvI930rJcOdNuqDvxCCn2o8PlAyXqJBeWyouPz6gHIou75k4kT9pa8JV5CM3R2WQ/dzTbBWmNLctLyG7bem5NsoRwqvEDb2WvgmTSMO7nZj0+jHMq+UNeKoDdhYbsJrmLwXUvVpG21kEcx3FboSXOSd5/e3bUGtFyUbF0CThNfs3Mv3ZTxTbkLMo4kmmrHxfnd+JIyHK3OhxiaaJpHNwOX7MXVPbfCRV4dKRBou/V0uxC37UqebTBym8sSXFS7SlMOQsn8F4YZkYm96wJEbdTHXO99qe7NLpnPSjjep8UpRbAcUI00x0qSXjnRs0bW+3g3Ji0BWuK4UH2+Md2qlY2RlsammSTRFV8Dj8dSTnVtMpa+duwukmFyO8VA93Kwd7H/q0BbClW3ByopqIE46mgu8OCiE6u+MjNdkYGOPHXiSdzYLwIc/l/ZCgaLLbrjaasHeM8guGoLS4IyAhFzQHsliCakEzzZrQwcft8ebtZMdRKZlEcna+x3fXJ98/IomlUnXdDz64Xrz+j5uIea5k48y1ax3NbYP8dTTPbbEU4UzsnN20Y1sT9PxqMObJT2+LHGBRlf2GhJeDhVNKtfWe91QzU0Lh5cPLlgLLcxGEl7YmJjzAh+atjU2pE4DyoHBhZCMLdHUEWYG2x5rdSOQeVM4bKzJtzcXwHBW4uIAva5xSYBNhTngAgHrd45rgjxo1Qfaa8gFVm4jkQHa+DYualysCdaWJjG4RN7FleZb72VDNDfXtcXKyW5Ul3KKWz+6BVtaivpFuLA0maEcaFaH8jujOWTnAqh3V8/PQrhUmFy+tdtt2bpp9b9mAuReHyWs94R5kl44kokFZbAh1JkiKD3RTDZOLlTk+7ec7rGEw8KFxYWaqi/frahX3AD5vZE50qQSGvJKAOH20eb2L7mUhdIUDptqfKKvO/Diqaf3UjjLNuT6hHstoTT0lA83fYGAnTSmsDSpwfUM1UDmbTQV8lvVkbCOMxIOiOatkkYMxd7N84vHBf5qLqch5bbcqwtENScdC1e7SQQ2hRfna6orAPy/RRtwtLBEl4VQ/EODM4p+Lg82WLcUKWtIxzWmdjL5TEi4dhRDTbG3+cujuSU5L9Crsu217xPPFDbSmEo+fN1IWMAUDdWwpX01sgMsdzc/pOSyJpiWKGtxWUS5HRMU4uCiWUO4bLBxTLiUCV73DHUmki51F4pbnM94ZokviuuHXW1FhGsZL1xYgZhnmvCyQVsvXVMTTedY4DLlbTB1e78CbDeU28m1KkW4FMi6yjTpxArEfCSCkNkJFCPF+s54juSiQBcNPtAUe+k1dDqeWYnNhZ5oYVGNo9gOSS5lt1WOFIujuxDzaJyjSuH93kDMFeHaYyqHDQ2dY1mc1vshzghyrxwplvs3z89cLAhaiLnppNhHfTonsiiHi4ZgVeN1SudNjQ01dT+grhXJxFJ1zR2IuZouhBuiNUp1aQ4zgsIRnTWElzmqauCoTzRzNJ1AIOa5FXxiJ8Dvbb5bPV1hnBdc36BD0wlIzxtM6TBFgyot1aBLdioyPC6Sn4+mDdUwYKU230V8vhaSFaBHGXkS03vVoGuPKZ0AZoYp2bksbC5SeKOJFo5ipFk93RiO5Ky4Ga+KKIcJg0/kBBhPGrR1zB8nmJm7JtVdnTrrjsI92dxdReerG1KZUmjr6X8h1xdOS9CKupMRzx26jefaRBGsHDbRLPWt+72siSYFOq9xWYTyKeHKUWeaMHcES4s3AcFKFCuqviyIpvBUhcR6N+73QsbCe2wvodiN6L28mcvhvIaDmLgl81Ud2QTFU09ZK8qHm88vuljLnACCToyLM3qvBOAezRp0ZeEgxrQ70zqTE3q4FgHWtyHmwcUCrJXnlsZUgxGdNxbdeKLLAlU7yv2M5LKRzVSq2/fmfyGQ/7Z9qdONz9bo+Rqcww+7grsrKy6+2SXfDVk/EUBF769jDv58SeAEAZiMa5okugMdSc4L9GSJKip8JyW6zFG15fw3tlg+CiiOavCO7R9G7P7ZiqR2uCglWFrqzu0AsTBcVW2FbRoakuM1umo4/40tLr4eUg8NPnJs/VXI3p9PiWYhTZyRXjSsTHindsMUTsbMK3Sg5UPIa8bfGQnEZb+BwDL8Ucj+v54RLAK8TonmliYJqG8dK0zpBAu3LlFBSjwu0GXD5TeHTN4zFLvSQTP6m5DdH8wxeYBy4pibNEDd6iAzhUWVFrUu8Z2E+FIg6xe/2mfyfkC1Lf//6EcBu385x5QO5SLC5dV4t449V/9ZNxAFBAtRB1j8WofxNzzNroXasv2XEbs/uOqgConnliYNN9BMbtSVxbSRnalpoePT5ynrrweU2xID2/mrhO2/nqJ8hrIiuOjCFGU3X4Y93EIVDRiF7caoxhPPa6pByPTXh9RdUVIefOwY/nhOPUrQhcUsSlzUuRNe8J0ECvnIXWRETXhds3y3y/IoodiWTrrhT2J2/3KOjw26ConOVti0x23ouIsDTCNKBThP9iZHrytmHwxZvh8KBL4vgPrD/2uGjw2mjIkuK5r01tkYOcKa2oJz6MYx/OkKvSxYfLDF5fvxNWCp+4Vi/19PbjYZK8v8yQ2X+tq0BtsIfUspspcr9LJk+cEWs2ddgTANPf1PDDs/mINRVMOYaFJQHGT4W05XN17mXlGhQkP6aomqGs6+t8P8WUA1EHjM1t9ptv96SnQZYMMOUTv3bptNBb+oC1Ht6Hy6QFUNF7++w9m3QupegA89w3/Q7P5gStKJWD5OiRbt3LslTGk7EcZ7WWi8l/stGibfHDF5L6YceXwg4+39+SXNIKHciokWNTZKNpo/7Xbvei57Y2SBWFfkj3qc/2pXQoJKmOKDH13QbHWEmV3UuMfdO92Bt+3LyY/e49P4Gq5c90NsJQzS4UeWaBFQ7AhDdH2UolsZbF1Z4rkjmt6CmK9KMAafRKi6oT7oSbxOweAjR3wZ0nSkvXL9rE+wkh2gKSzxzBPdAl2booFAC791UVDv9WgGMS6U+HGzEKxe3VEsnvdJxjVB6QkKSzLVdyDmwbrGhy0kfF1RHvagH9EkkIxBuYCq76l7MP1qj+ysEUmg0pJMDNNbEHOzFl4nJKiioTrq4lV8DX5WTrCR1UAx+Wqf7Ex2IrpyxFPPZJzeur4Gl7bj1ZZyP5MQQiJxPVMYmtTTdBTTD3skEytZ29KRTD2z883ApMkbbBqilUJZSzWKaFI5MnVeKap5dC0ptHi3R5A7Ga9FOy7ONxdC14nBOZGqSYx8uEq07IJVK6Mde+qtK4i5Qq9K4nFwB2LuIoNPZWE06wZ0eI0ElaO1x+RyjG26kUjT1A69LghnhmhxK+tqPT6W921WFfVW1r4byM5EDbZeCi2v2k0J55XsgKuaaFrfmcumhWbjPcHFgma313KYJYwGGjsJsQnkDzpE04pgbTGrkvQiIjq/NffGq9aBO4L5WqDoWYQzItOElvyFC6E86BJNSsJ5QzDJyVJDfLF5v3ouagd4j64b3CDDZTHKXoUqZDwbQbmfEU1LTGHR85woDohmm+NF5ytw4tDUqqDZ6+P7CTZRpKcCfHGhJKqX7/SJJ/KthUtLcqlZ3por0Vl7v3VDsC4Eg9pLsInI2CuvpGIhhfxhl+iyIlw6wnlDOjaszm9B26e5QNEbixkX2O0ethNhQ0V86SV+3Eh4sdzvEs5LwmVDMC1IO8HG81O5nPyUUuhVju3F2E6MCyWO60KpeKlTRbPdwazr62eeJiHJweZ3e9u+1Onq00tIYnwnxachunKg5cIXIyMZ+8BT7EB6LgmFZFzjjWa9YwTt97YdnwqkuZu1oGaPD1UrJa2ue57LIYQrQ2zkeIdR5Fvqznj602NUGEKa4JNIwNRGXcdsr+KQ+YEnGWt0ExBfNnilyLcMTffWTvLTE1QS47OkFUWUsIALpf/fSx6C9QNLfKlpUk08keNyvqNRg02yVfjZKaQJLkvAKHTlcJGW8pq03Sh6WD1wLX5S9MSaxEjCbrCZMg8/P5drSyOBolcOryVWfD2ebiHruSLM5fpcqMm3NG54a7yXF/Ju4wB0C4Fvoe3Frpe+fwvVEMLWaUbTBh8oEZ3svgWvPpsKDN3o1kE0srt2sHgi5Xm6gXisaBLZaYaLL4GYXyyFf9tCzE0vQjkJeTRJgE0lmZKeCXxcr2tJkCURTS+WpN7bc+Vicg24xhh0KbtAU3hWj0Vx2iYilumMwiuFriyul1C2iiQb9uYclcTyfYQBurISB2xg/liT78t2R9QU5GfNqsZ2YvKd4A6v1r96I4zeNIUrKHpoQCnmT7TgVUMpv2q+0IRTiXsD17vMt82dnqOiCNXJII5kPC2hwfljEcwstwSc475QuNBcg7jLrfhO5ZH/4ljA3kkCUSohuDb5uXqgRIY885QWooXCVHLilYSlwmb2F46ngkBg8FWDCjTBGtYHMpYkiiV2GrYSSxhF1fkFiruvTiBNUFoLDL60kGrCtWP1wFANZUMYzhQ2bVW/lxI2LW89P3U6lnerFVQ1umrwRqNaoFLVlwqIaCabg2Cag3X4MKAa/H/wnN+yL4eY97u4XoJNQ+pBiMkd+U7A+lASPbbjoNOgx2Gb7VQtTxfihbtTJqJGQ1w/w3Yimq448dVhxPpIWKQudqjUoi9CmlThlUGXIhyYnTsmt0qeVK+LT2NcJ6bux4TzknIYsj6Eui+UJZVYzBvZ/eYjqcQI1vYXynTT7+KyGJtFNJ0AUzqqYUA5aqlNvQadWPRJjHKwboUZg5Wlc2KZ3xrO97u4boyLA5osQDeeqmdoMpnwtit1heGZSKDnW/LsgpWl+8YyuzOe7AZ8aGg6AarxlEMjPOGRxScOFTnMqexQi6FG2YBwYemeWGZ3jtwpdpThjaZJTfszhmLHYYeNQHkATmKapE1OqYBg7UjHjunbJWNVDZHsFmwvxswrql7I+kCoX82gFQ+1okwQrTThXKEScax3aPvjiTiNIMD3O0TjNS4NWR3Eoh7QacdNFcVORBwozLq5lht/O/sM4OsaZQxKa5qtLqp2NMOY5ZGh6Uq5j+0IEawcGlwUE48rUDLWnY9cq2snXu/3JQcxiFgdyOnF9ht01tCcxm3CLiGeykkmyN2dcIoKg2vVCDfsgHPU/VjA2e3a5jKHX4twqN5JCFcirCmno83LU0ks47XvWJWWZhiz3pE66SaTDVPgZbFvOgGmaNp47d3qD93vtSooyfXJotyOKHZv1Kt96EjORIa+GBqy2mNyK9/ubYh5FF5fn+u1J8FhzPpQFuhmJBQwv4oo+xobx8RTyavEi80Sr6v3oYIAohC71UVZTzWIWB4ZUSfeqsF4lI1Y7QU0SUa4FFFObbmhuwGUpWweggDf76JKix2GFFumrX13kgSsNPluiDc92ZDCNSryy+xLne7Zb+8RlBJoXj6GemDRvRLXaCgNpldj14Fom6XSyFBnRujsh3dBzad/cARaoN7FrkC9w+GaOhfouM4a3Dpod5FCW6o7IdoGrA8UwfRW3er3j0Rlta9YPfDYJMT1LPgGnTakaU0+F9XSuisTrRqGqCaUcptb13fx/X28ltWs2PbYxOP7NTSOoFOzPVgxXaQEMy1A9B7kewG6Dii3PPp4Ezp+8d1dnBGY+FWxte1ZKcnq1vQHOctlQjiLWuFBKHYCdBVQDcF8sXnkPvv+jsjxjIQt3GQehhW+1gRZQ7+3ZjbvEC6UQNFTKLbb6xuBOdn80M+/vyuVA0MljrZnyXbmpNqTRjV7nSVfTIfkdUI1lGRQsWNQViDmqroZr/jwAXiwqWb8QUi55WkGDnoF3X7Ok96S15MB/qTPeh8KawiXIom9fOxRt1fA/R1xxmnI4p0u613JHtsUVu/WBJ2aZh7ReR0IxHzbkExE0WS1b+6UUNnnD1GNo+lGTN6LyXdEQcFF0OyW9EZr1qsE8yql2NKs9zRJuwNaHd3duVTfeIpynmI7YvyB7KRsx0JYk45yvrV3yqJO+OzNQ/I9UWkO8gg8rA/lQ3/b6q89k11cP2T2NKDclo2N19AMazo7a0KncGc9Fk80y0YTLkU9pNiRqoiN8T58ImGeNGD2TiTXEMtJrUk9TU+UPMKXmtWeQe1qsk6GN4rlA32n7nfy249F760nlQ1Np1UriQp8rQm7FXUeosuAfFe1sl4RynryA0V4eYuF/c1n2ERUMObPRD2m6TvoCPT+sD/nzbxP9TJidaTwgbrWOcv3/Z0Ydv21Z/hQU/UDpl8JKLa9qIEkNaODOU+Hl7ycj5gfb7M+UKyORFYI5H1clScCuHcf4UNN04uYP4kodlTb9OXhyYqD0YLzSQ931mHxyLA8klJFH8B6X2068F9gX+p0x7/W7k7SBjWOCJYG16vRocMhfNdZmXBqhqA8ah5KZ4Z2BEtNPdycWZe/U5J0KuKwoTnpgVWkSS36dPOY50dnLKqYk3RAlDQU41Q6R7R0QDVbm2U2Z9/z+MjKB7gOUIUhHhTUZYAyng/3T1iMEj4Kd1EabC4xRqwiuAywh5sz9eL3KrrDNf2kxK1SqjLk3YNzjud98nXMb+5/RrNn+H+SZ8RhQz7t0igvvRSvUzi6BWr+3YreaE0aNlTLFBrDe4dnvJoOyVcR3zl4SekC/ip5SBBXzC964BQqcATHMc3R5vVd/k7JaLSkH1jGsw7aad4/OuV43meVx3z34HPORl3+Lj4kSUsuxj18rVGBw5zE+Eeb4Y+L79d0RjmDLKea9PBW83zngsg0jIsOf7j7D/y0c8CfmScM04JX4yFlGRCEFreI2Dm62Ytfvhe3C6qU4cRThQs1wW7Nbz34lN1owf9Rv8frgwxVyXFUVbKLtJlj/+nlxrWtnwxE3qcrji+ZOKqecE6//f6nLKqEn82OqHtgcgl5FVuivdZ0oPrOZrnd9HlHVDwGkgQJV+BDRd23PH14wXe2v+BPX77H/CCmXkr3XX4oGEWvPdXTzXdx9i2JP5bbDnDSqJJausOc59vn/JPdv+XTcpeT5z1WeyneKZRxeKuh0CQHmyv++GspttV9U1aaOZpECvQPHl3yqDfleDng9UFK2aibzquVIVxo8g82597s3aSVWZdStezEtyV80Dyp6I/WLKYZ+b6R2G4Mq4dy+gjWd6HoJ9/zcpJKpOFFV4qwV6K1p9YBLw7OmRYpr90WYVbTlAG+1OAVwdTQ7G568bPvxNQdUXxRXmLqPmvIegU73RVfHbyhG5b88ElHGMyxpdIelweoUjN6Otl8fl9PaTLZ3OARoHgXgm7NN/eOeZ6dUbmAi8M+VaEh9OTKo0pxvEfv3oDHZ+/3qDMJiyjXvosUmp7jNx9/QWwapquUYttRVwKGX1uB6bvA0/v6JpD/tn15ne52TjctGV920QcFaVay3VlzseywvOgwKxMBNZca5RSdx3NWsxQdWeo0REWbL257e8mTwSU/Od9n62jGbmfFO70xPxofcXyZcJlnFHWAW4QUecDR0wvOLvuYwFLq5I4Ee/fBnH5SUlmDGTn6Ucl2suIn4z0m4y5n6x7LMsItQwg8O4czVkWE94oijERP7C178fiEJ91LchvycH/K43jMQTjjvzv+Pn8ze8Anyx0ap1nMUlaB5/0HJ1ysBYp+4RVh1Nwa75SjzoxVE/HsaMyL5IRH4Zj/yvwj/nb6kM+WW1inyS9T8iDhK09OOVt0AZg7RXjr+b374Jyn3UtOix7f2nnNB9kbnscn/Lcnv8UPP3vMZ6stllVMPk3I5wkvnpxwtuyilGeqIL3FSH3w4JL3hme8Wg158OgVR+mMX+l8wUfFPv/n8jlflFtcVB2msw7TaYdvP/uC87zLICo4WfXYeQv8XOy2tbutDwLp0AtDy7KJ2I886ypE1VLgbocNPlIko4JO2PCru682rq0cSU3v28fcq+aGN6s+H45O+Xj1EF1L3F6aHiDfl2Td4+3pxnjr/Zud3lXdp41lPs3yhFg3rIsIU4hTtom0gNaHNXjF1mjTiS+fWnwbp9Sx/DuKLFHQsG4iFi7hvOqyXsX43BCOCozxHAznXCw7vLdzdut+ryDwtKxWhPkbeIoqpLAhk1UKTmFyLQIoTuFGNWVmeLC3eb91VxysriVWfQ1FD4HCYLSDhYC4r1jAQS4nKJsqfGdz7oX7OYNuzmyZwl5DJy056s8Z5xmn6yGnyx55FaIKQ1MY9t+5YLZKaRpNHUTXz+j6fRw6/KiWEIIXxnuS1WRxzaqKOK+6vF4OoNIoqwgHJcY40uGK5TphJ9usOc/3FNXg6ntum2oijzaOSZlRp0a+1Up8lTcyYTpHwl5+b3jzPootLTLrb5kLhb88rVKedi8p1hG6kUYp37YAlwcNKnL8yu4xX2Zf6nSrIqAMRZJjq7ciamHFVWpYpzFGO7Y7a5Zphr4IsVbz+GjM+aKDCy11vXnGm68S3gR90qjmQW/GdryiY0q20zXHkTyw/d6SfBjj3ySsy4jnh2e8mg1QWwXlajO6b60mNJZ+XLCTLElNTWpqxp0Os1lGGtQMk5zlKsG+SSl3Db9y+JpP51vMlKdYb463rGIaZ3iWjflW9jlHwYREWZ73zvj78BCAb45eMy1Szj7ZZr6T8IcPfsy/mT6iagzL9WYQe1YmjBKBln+3+xHvhWckyvG8e8bfR4do5flg9IZZnjD/ZMisSPjHj37K30wf0FhNWWxe3zRPmUQpD7Mp3+5+xlfj12yZghfdM34UPkArz/PBObPdhNnnA4GsP/iYn872AcjLzfFWZcSiielFBR/0TjgMpxwEM6o4YJg8JNYN73VPOd4d8PLVNoUN+Xf2f8JxOSQLKtbNzXheg01lx+Jij6pEOUQrTz8oeS95Qzd+j0nssKFCJ5Zut2Cvt+QwmxHpzQVLugvbJJSSGkgfyJ/zKuQfDf+BP+1+FW80dUcaclzoKR/U9LZXWHcrCKvF4VgjWlYiLQ8YiMOGF8kbDkfv8jLJ0KXCRx43aOgMc3ppgb4FWVdOQeBFSqZXkBchxjiSsGEvXXAUTnCZ5kdbDzhzfeK44aC/4HFnwju9ManZXACvwg0+FL6FKbSUNAaOwDgO0xmfqG1UYnFpA1bjrSKILfuHE3bSzZ2zakUmXdTudiuuwdso6MYVk8iB0gKIj+R47I2nOqrQweaGxFotIqXKs91fkYU1kW7oRyUXkSUwlq1OTTEKcWP5Dn7vyUf8xclj8sBRFpvVBj7yBIk8gygSX2GMIw4aQmPZjZasuxHjYYd6ERPHcmLKbcibdZ+iuTWeEWHMKzFaVUrW2xhHFlR8JTllK33KebeHqwxBIuG4Z8NLBuHd9yt6fIIe0FXbBq891mk+yN7wp+ELEeO8EsANLMP9BU+GE4LbsaNbdg8xv7d7u7d7+yXaPdrx3u7t3u7tl2j3Tvfe7u3e7u2XaPdO997u7d7u7Zdo90733u7t3u7tl2j3Tvfe7u3e7u2XaPdO997u7d7u7Zdo/y+NKExJy8SNZwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 221 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "fig,a =  plt.subplots(h,w)\n",
    "for i, per_img_masks in enumerate(attn):\n",
    "    for j, per_mask in enumerate(per_img_masks):\n",
    "        norm_mask = per_mask / np.linalg.norm(per_mask)\n",
    "        a[i][j].set_axis_off()\n",
    "        a[i][j].imshow(norm_mask)\n",
    "plt.axis(\"off\")\n",
    "plt.savefig('out/feat_attn.pdf', bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import numpy as np\n",
    "feat_2d = torch.from_numpy(np.load(\"out/feat_2d.npy\")).to(\"cuda:1\")\n",
    "roi = feat_2d[250:252, 190:192, 32:]\n",
    "\n",
    "keys = out / out.norm(dim=0, keepdim=True)\n",
    "queries = roi / roi.norm(dim=1, keepdim=True)\n",
    "attn = queries @ keys.reshape(keys.shape[0], -1)\n",
    "h, w = attn.shape[:2]\n",
    "attn = attn.reshape(h, w, 192, 252).to('cpu').detach().numpy()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "\n",
    "# 定义 query 和 key tensor\n",
    "query = torch.randn(1, 13, 17, 256)\n",
    "key = torch.randn(1, 100, 200, 256)\n",
    "\n",
    "# 将 query 和 key 分别转换为形状为 (1, 256, 13, 17) 和 (1, 256, 100, 200) 的 tensor\n",
    "query = query.permute(0, 3, 1, 2)\n",
    "key = key.permute(0, 3, 1, 2)\n",
    "\n",
    "# 使用 2D 卷积计算 correlation map\n",
    "corr_map = torch.nn.functional.conv2d(key, query, stride=1)\n",
    "\n",
    "# 转换 correlation map 的形状为 (1, 13, 17, 100, 200)\n",
    "corr_map = corr_map.permute(0, 2, 3, 1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f3971b874f0>"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "norm_mask = attn[6][6] # / np.linalg.norm(attn[1][5])\n",
    "np.min(norm_mask)\n",
    "# norm_mask = norm_mask > 0.9\n",
    "plt.imshow(norm_mask)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.0000e+00, 2.3842e-07, 2.2650e-06,  ..., 1.4947e+01, 1.5070e+01,\n",
       "        1.5281e+01], device='cuda:1', grad_fn=<Unique2Backward0>)"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "keys.unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  816.6812 ,   828.1697 ,   837.22675, ..., 24605.648  ,\n",
       "       24631.363  , 24807.953  ], dtype=float32)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(attn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.set_xlabel('X')\n",
    "ax.set_ylabel('Y')\n",
    "ax.set_zlabel('Z')\n",
    "for pose in all_poses:\n",
    "    # 姿态的位置信息\n",
    "    position = pose[:3, 3]\n",
    "    x, y, z = position\n",
    "\n",
    "    # 姿态的旋转信息\n",
    "    rotation = pose[:3, :3]\n",
    "\n",
    "    # 绘制位置\n",
    "    ax.scatter(x, y, z, c='r', marker='o')\n",
    "\n",
    "    # 绘制方向箭头\n",
    "    arrow_length = 0.1\n",
    "    ax.quiver(x, y, z, rotation[0, 0], rotation[1, 0], rotation[2, 0], length=arrow_length, color='r')\n",
    "    ax.quiver(x, y, z, rotation[0, 1], rotation[1, 1], rotation[2, 1], length=arrow_length, color='g')\n",
    "    ax.quiver(x, y, z, rotation[0, 2], rotation[1, 2], rotation[2, 2], length=arrow_length, color='b')\n",
    "\n",
    "\n",
    "# # 设置坐标轴范围\n",
    "# ax.set_xlim([xmin, xmax])\n",
    "# ax.set_ylim([ymin, ymax])\n",
    "# ax.set_zlim([zmin, zmax])\n",
    "\n",
    "# 显示图形\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "odict_keys(['scale_heads.0.0.weight', 'scale_heads.0.0.norm.weight', 'scale_heads.0.0.norm.bias', 'scale_heads.1.0.weight', 'scale_heads.1.0.norm.weight', 'scale_heads.1.0.norm.bias', 'scale_heads.2.0.weight', 'scale_heads.2.0.norm.weight', 'scale_heads.2.0.norm.bias', 'scale_heads.2.2.weight', 'scale_heads.2.2.norm.weight', 'scale_heads.2.2.norm.bias', 'scale_heads.3.0.weight', 'scale_heads.3.0.norm.weight', 'scale_heads.3.0.norm.bias', 'scale_heads.3.2.weight', 'scale_heads.3.2.norm.weight', 'scale_heads.3.2.norm.bias', 'scale_heads.3.4.weight', 'scale_heads.3.4.norm.weight', 'scale_heads.3.4.norm.bias', 'predictor.weight', 'predictor.bias'])\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "import re\n",
    "model1 = torch.load(\"./out/gnt_semantic_lr2/model_050000.pth\")\n",
    "print(model1['sem_seg_head'].keys())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np \n",
    "import matplotlib.pyplot as plt\n",
    "predicted_labels = np.load(\"out/predicted_labels.npy\")\n",
    "true_labels = np.load(\"out/true_labels.npy\")\n",
    "\n",
    "plt.imshow(true_labels)\n",
    "plt.show()\n",
    "plt.imshow(predicted_labels)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[[-241657.78  , -176890.16  ,  -24700.727 ],\n",
       "        [-386648.62  , -146509.88  ,   31966.164 ],\n",
       "        [-401092.84  ,  -71429.3   ,   35895.52  ],\n",
       "        ...,\n",
       "        [-248750.5   , -491032.    ,  231870.69  ],\n",
       "        [-228022.61  , -462346.88  ,  197957.5   ],\n",
       "        [-102674.81  , -366027.03  ,  100520.64  ]],\n",
       "\n",
       "       [[-382589.6   , -203900.16  ,   35013.55  ],\n",
       "        [-591201.    , -176810.61  ,  111747.89  ],\n",
       "        [-608248.94  ,  -81819.29  ,  112550.266 ],\n",
       "        ...,\n",
       "        [-393787.97  , -625213.1   ,  330356.03  ],\n",
       "        [-366675.06  , -589336.    ,  289738.78  ],\n",
       "        [-191175.3   , -448341.84  ,  159606.42  ]],\n",
       "\n",
       "       [[-421079.38  , -210795.11  ,   52512.273 ],\n",
       "        [-640563.1   , -189559.88  ,  130144.44  ],\n",
       "        [-668642.9   ,  -99839.35  ,  130956.92  ],\n",
       "        ...,\n",
       "        [-403496.53  , -651665.2   ,  356343.88  ],\n",
       "        [-372553.28  , -611105.4   ,  310984.62  ],\n",
       "        [-194858.72  , -464177.5   ,  177350.12  ]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[-226979.78  ,  156457.19  ,  -38291.83  ],\n",
       "        [-394223.1   ,  270377.56  ,   28488.898 ],\n",
       "        [-441680.06  ,  306236.3   ,   42671.086 ],\n",
       "        ...,\n",
       "        [-918940.3   ,   27152.691 , -126729.97  ],\n",
       "        [-901037.5   ,  -16577.613 ,  -82252.95  ],\n",
       "        [-604337.8   ,  -15217.6875, -126269.81  ]],\n",
       "\n",
       "       [[-202710.36  ,   91241.95  ,  -61385.527 ],\n",
       "        [-356669.53  ,  178056.14  ,   -9094.1875],\n",
       "        [-393635.38  ,  205127.44  ,   -1821.8594],\n",
       "        ...,\n",
       "        [-892826.9   ,  -11743.922 , -100587.125 ],\n",
       "        [-879906.56  ,  -46826.555 ,  -62184.277 ],\n",
       "        [-587793.6   ,  -38687.08  , -111777.77  ]],\n",
       "\n",
       "       [[ -97900.055 ,   12537.58  , -120191.17  ],\n",
       "        [-194047.62  ,   63033.03  ,  -97347.875 ],\n",
       "        [-218643.88  ,   82430.21  ,  -95736.75  ],\n",
       "        ...,\n",
       "        [-585446.75  ,   -8608.883 , -166442.28  ],\n",
       "        [-575390.8   ,  -37764.816 , -139997.88  ],\n",
       "        [-382560.75  ,  -38999.914 , -166847.47  ]]], dtype=float32)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "def calc_pca(emb, vis=False):\n",
    "    X = emb.flatten(0, -2).cpu().numpy()\n",
    "    np.random.seed(80)\n",
    "    pca = PCA(n_components=3)\n",
    "    pca.fit(X)\n",
    "    X_rgb = pca.transform(X).reshape(*emb.shape[:2], 3)\n",
    "    if vis:\n",
    "        plt.imshow(X_rgb)\n",
    "        plt.axis(\"off\")\n",
    "        plt.show()\n",
    "    return X_rgb\n",
    "\n",
    "agg_feat_2d = np.load(\"out/agg_feat_2d.npy\")\n",
    "agg_feat_2d = torch.from_numpy(agg_feat_2d)\n",
    "calc_pca(agg_feat_2d, vis=True)\n",
    "\n",
    "cnn_feat_2d = np.load(\"out/cnn_feat_2d.npy\")\n",
    "cnn_feat_2d = torch.from_numpy(cnn_feat_2d).permute(1,2,0)\n",
    "calc_pca(cnn_feat_2d, vis=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.9944, 0.9968, 0.9955,  ..., 0.9980, 0.9943, 0.9994],\n",
      "        [0.9940, 0.9967, 0.9965,  ..., 0.9982, 0.9950, 0.9994],\n",
      "        [0.9934, 0.9966, 0.9972,  ..., 0.9983, 0.9956, 0.9994],\n",
      "        ...,\n",
      "        [0.9871, 0.9873, 0.9907,  ..., 0.9981, 0.9938, 0.9994],\n",
      "        [0.9883, 0.9888, 0.9911,  ..., 0.9987, 0.9949, 0.9995],\n",
      "        [0.9892, 0.9899, 0.9913,  ..., 0.9991, 0.9957, 0.9995]])\n"
     ]
    }
   ],
   "source": [
    "agg_feat_2d = np.load(\"out/sems.npy\")[0]\n",
    "agg_feat_2d = torch.from_numpy(agg_feat_2d)\n",
    "calc_pca(agg_feat_2d, vis=True)\n",
    "\n",
    "cnn_feat_2d = np.load(\"/home/hao/lihao/GNT/out/sems.npy\")[0]\n",
    "cnn_feat_2d = torch.from_numpy(cnn_feat_2d)\n",
    "calc_pca(cnn_feat_2d, vis=True)\n",
    "\n",
    "import torch.nn.functional as F\n",
    "print(F.cosine_similarity(cnn_feat_2d, agg_feat_2d))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers).\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([120, 160, 512])\n"
     ]
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "def calc_pca(emb, vis=False):\n",
    "    X = emb.flatten(0, -2).cpu().numpy()\n",
    "    np.random.seed(10)\n",
    "    pca = PCA(n_components=3)\n",
    "    pca.fit(X)\n",
    "    X_rgb = pca.transform(X).reshape(*emb.shape[:2], 3)\n",
    "    if vis:\n",
    "        plt.imshow(X_rgb)\n",
    "        plt.axis(\"off\")\n",
    "        plt.show()\n",
    "    return X_rgb\n",
    "\n",
    "feat_2d = np.load(\"out/feats_out.npy\")\n",
    "feat_2d = torch.from_numpy(feat_2d)\n",
    "# feat_2d = feat_2d.permute(2,0,1)\n",
    "\n",
    "calc_pca(feat_2d, vis=True)\n",
    "print(feat_2d.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "def calc_pca(emb, vis=False):\n",
    "    X = emb.flatten(0, -2).cpu().numpy()\n",
    "    np.random.seed(10)\n",
    "    pca = PCA(n_components=3)\n",
    "    pca.fit(X)\n",
    "    X_rgb = pca.transform(X).reshape(*emb.shape[:2], 3)\n",
    "    if vis:\n",
    "        plt.imshow(X_rgb)\n",
    "        plt.axis(\"off\")\n",
    "        plt.show()\n",
    "    return X_rgb\n",
    "\n",
    "feat_2d = np.load(\"out/feats_out.npy\")\n",
    "feat_2d = torch.from_numpy(feat_2d)\n",
    "# feat_2d = feat_2d.permute(2,0,1)\n",
    "\n",
    "calc_pca(feat_2d, vis=True)\n",
    "print(feat_2d.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['optimizer', 'scheduler', 'net_coarse', 'feature_net', 'feature_fpn', 'sem_seg_head'])\n",
      "odict_keys(['lateral_convs.0.conv.weight', 'lateral_convs.0.conv.bias', 'lateral_convs.1.conv.weight', 'lateral_convs.1.conv.bias', 'lateral_convs.2.conv.weight', 'lateral_convs.2.conv.bias', 'lateral_convs.3.conv.weight', 'lateral_convs.3.conv.bias', 'fpn_convs.0.conv.weight', 'fpn_convs.0.conv.bias', 'fpn_convs.1.conv.weight', 'fpn_convs.1.conv.bias', 'fpn_convs.2.conv.weight', 'fpn_convs.2.conv.bias', 'fpn_convs.3.conv.weight', 'fpn_convs.3.conv.bias'])\n",
      "feature_net: 108\n",
      "feature fpn: 16\n",
      "sem seg head: 23\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "\n",
    "model_weight = torch.load(\"out/distill_dgs_gpu_8/model_219999.pth\")\n",
    "print(model_weight.keys())\n",
    "print(model_weight['feature_fpn'].keys())\n",
    "print(\"feature_net: {}\".format(len(model_weight['feature_net'].keys())))\n",
    "print(\"feature fpn: {}\".format(len(model_weight['feature_fpn'].keys())))\n",
    "print(\"sem seg head: {}\".format(len(model_weight['sem_seg_head'].keys())))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=================================================================\n",
      "Layer (type:depth-idx)                   Param #\n",
      "=================================================================\n",
      "├─ModuleList: 1-1                        --\n",
      "|    └─ConvModule: 2-1                   --\n",
      "|    |    └─Conv2d: 3-1                  8,320\n",
      "|    └─ConvModule: 2-2                   --\n",
      "|    |    └─Conv2d: 3-2                  8,320\n",
      "|    └─ConvModule: 2-3                   --\n",
      "|    |    └─Conv2d: 3-3                  16,512\n",
      "|    └─ConvModule: 2-4                   --\n",
      "|    |    └─Conv2d: 3-4                  32,896\n",
      "├─ModuleList: 1-2                        --\n",
      "|    └─ConvModule: 2-5                   --\n",
      "|    |    └─Conv2d: 3-5                  147,584\n",
      "|    └─ConvModule: 2-6                   --\n",
      "|    |    └─Conv2d: 3-6                  147,584\n",
      "|    └─ConvModule: 2-7                   --\n",
      "|    |    └─Conv2d: 3-7                  147,584\n",
      "|    └─ConvModule: 2-8                   --\n",
      "|    |    └─Conv2d: 3-8                  147,584\n",
      "=================================================================\n",
      "Total params: 656,384\n",
      "Trainable params: 656,384\n",
      "Non-trainable params: 0\n",
      "=================================================================\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "=================================================================\n",
       "Layer (type:depth-idx)                   Param #\n",
       "=================================================================\n",
       "├─ModuleList: 1-1                        --\n",
       "|    └─ConvModule: 2-1                   --\n",
       "|    |    └─Conv2d: 3-1                  8,320\n",
       "|    └─ConvModule: 2-2                   --\n",
       "|    |    └─Conv2d: 3-2                  8,320\n",
       "|    └─ConvModule: 2-3                   --\n",
       "|    |    └─Conv2d: 3-3                  16,512\n",
       "|    └─ConvModule: 2-4                   --\n",
       "|    |    └─Conv2d: 3-4                  32,896\n",
       "├─ModuleList: 1-2                        --\n",
       "|    └─ConvModule: 2-5                   --\n",
       "|    |    └─Conv2d: 3-5                  147,584\n",
       "|    └─ConvModule: 2-6                   --\n",
       "|    |    └─Conv2d: 3-6                  147,584\n",
       "|    └─ConvModule: 2-7                   --\n",
       "|    |    └─Conv2d: 3-7                  147,584\n",
       "|    └─ConvModule: 2-8                   --\n",
       "|    |    └─Conv2d: 3-8                  147,584\n",
       "=================================================================\n",
       "Total params: 656,384\n",
       "Trainable params: 656,384\n",
       "Non-trainable params: 0\n",
       "================================================================="
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "from torchsummary import summary\n",
    "\n",
    "from gnt.fpn import FPN\n",
    "\n",
    "fpn = FPN(in_channels=[64,64,128,256], out_channels=128, concat_out=True)\n",
    "summary(fpn,input_size=(10,512,120,160))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "=================================================================\n",
      "Layer (type:depth-idx)                   Param #\n",
      "=================================================================\n",
      "├─ModuleList: 1-1                        --\n",
      "|    └─Sequential: 2-1                   --\n",
      "|    |    └─Conv2d: 3-1                  147,712\n",
      "|    └─Sequential: 2-2                   --\n",
      "|    |    └─Conv2d: 3-2                  147,712\n",
      "|    |    └─Upsample: 3-3                --\n",
      "|    └─Sequential: 2-3                   --\n",
      "|    |    └─Conv2d: 3-4                  147,712\n",
      "|    |    └─Upsample: 3-5                --\n",
      "|    |    └─Conv2d: 3-6                  147,712\n",
      "|    |    └─Upsample: 3-7                --\n",
      "|    └─Sequential: 2-4                   --\n",
      "|    |    └─Conv2d: 3-8                  147,712\n",
      "|    |    └─Upsample: 3-9                --\n",
      "|    |    └─Conv2d: 3-10                 147,712\n",
      "|    |    └─Upsample: 3-11               --\n",
      "|    |    └─Conv2d: 3-12                 147,712\n",
      "|    |    └─Upsample: 3-13               --\n",
      "├─Conv2d: 1-2                            2,709\n",
      "=================================================================\n",
      "Total params: 1,036,693\n",
      "Trainable params: 1,036,693\n",
      "Non-trainable params: 0\n",
      "=================================================================\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "=================================================================\n",
       "Layer (type:depth-idx)                   Param #\n",
       "=================================================================\n",
       "├─ModuleList: 1-1                        --\n",
       "|    └─Sequential: 2-1                   --\n",
       "|    |    └─Conv2d: 3-1                  147,712\n",
       "|    └─Sequential: 2-2                   --\n",
       "|    |    └─Conv2d: 3-2                  147,712\n",
       "|    |    └─Upsample: 3-3                --\n",
       "|    └─Sequential: 2-3                   --\n",
       "|    |    └─Conv2d: 3-4                  147,712\n",
       "|    |    └─Upsample: 3-5                --\n",
       "|    |    └─Conv2d: 3-6                  147,712\n",
       "|    |    └─Upsample: 3-7                --\n",
       "|    └─Sequential: 2-4                   --\n",
       "|    |    └─Conv2d: 3-8                  147,712\n",
       "|    |    └─Upsample: 3-9                --\n",
       "|    |    └─Conv2d: 3-10                 147,712\n",
       "|    |    └─Upsample: 3-11               --\n",
       "|    |    └─Conv2d: 3-12                 147,712\n",
       "|    |    └─Upsample: 3-13               --\n",
       "├─Conv2d: 1-2                            2,709\n",
       "=================================================================\n",
       "Total params: 1,036,693\n",
       "Trainable params: 1,036,693\n",
       "Non-trainable params: 0\n",
       "================================================================="
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from torchsummary import summary\n",
    "from gnt.semantic_branch import NeRFSemSegFPNHead\n",
    "\n",
    "semantic_branch = NeRFSemSegFPNHead(args=None)\n",
    "summary(semantic_branch,input_size=(10,512,120,160))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "656384\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "from torchsummary import summary\n",
    "weight = torch.load(\"out/ft_distill_gpu_8/best_scene0643_00.pth\")['feature_fpn']\n",
    "num = sum(p.numel() for p in weight.values())\n",
    "print(num)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8877056\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "from torchsummary import summary\n",
    "weight = torch.load(\"out/ft_distill_gpu_8/best_scene0643_00.pth\")['feature_net']\n",
    "num = sum(p.numel() for p in weight.values())\n",
    "print(num)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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